Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Falco276

  • one year ago

There are many ropes keeping a hot air balloon from floating away before a balloon race. One of these ropes is fixed to the ground at a 45° angle. Another is fixed to the ground at a 30° angle.

  • This Question is Closed
  1. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    If the hot air balloon is 21 feet off the ground, what is the distance between the ground directly underneath the balloon and the second rope rounded to the nearest hundredth of a foot? Type the numeric answer only in the box below.

  2. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    1 Attachment
  3. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @GCR92

  4. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok let me see

  5. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I think I know. The vertical angle measurement is equal to the horizontal measurement of the right angle.

  6. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    21 feet by 21 feet. I just have to find out the measurement to rope 2

  7. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    they are asking you the distance between rope 2 and underneath the balloon right?

  8. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, exactly.

  9. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    just to make sure i understood well, i remind you i'm not english!! hehehe

  10. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok

  11. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    lemme get a paper so i can explain better

  12. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1358712594988:dw|

  13. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the distance between rope 2 and 1 is x right? as the drawing says

  14. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yes, but I found the half of X which is 45.

  15. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    look at the drawing, am I right?

  16. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I only have to fing the measurement that is the question mark.

  17. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    *find

  18. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you have 2 angles if you notice

  19. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    even though they dont give you a number, you can see that the angle underneath the balloon is 90, a right triangle

  20. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i noticed that.

  21. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    apply pitagoras

  22. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ah well you need to find the sides first, nevermind

  23. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sides?

  24. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you gonna solve the problem like this

  25. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    x: distance from rope 2 to underneath the balloon - distance from rope 1 to underneath the balloon

  26. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    distance from rope 1 to underneath the balloon = 45.

  27. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Im trying to figure out rope 2

  28. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    how do you know its 45? 45 is the given angle

  29. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no, not from the angle. On how I got 45 was that the vertical measurement leading to the balloon has the same measurement that leads to rope 1.

  30. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    NO NO NO NO!!!!!

  31. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Im solving it, wait

  32. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I have it wrong!

  33. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    it has a lot to do with sinus and cosinus

  34. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    its 21!!!!!! Its 21!!!!

  35. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    well first you need to remember that sinus = op side / h

  36. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    we are measuring from rope 1 to balloon now, so sin 30 right?

  37. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i tell you that sin 30 = 1/2

  38. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so you gonna put 1/2 = 21ft / h right?

  39. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    solve for h and then you have the hypotenuse

  40. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what do you think you can do next

  41. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    there are many ways to solve this problem

  42. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    um, okay.

  43. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    also remember that all the angles of a triangle = 180, if this doesn't happen, it's not a triangle

  44. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so if you have a 90º angle, a 30º angle...what's the other angle?

  45. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    wait, so were trying to find a measurement form rope 1 to the balloon, am I right?

  46. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yep

  47. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i got it already, just waiting to see how you proceed

  48. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    that problem is too difficult for you, i mean, they should teach you trigonommetry first, there's no way you can do that without using trigonommetry

  49. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I never took trigonometery before.

  50. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I know you haven't heard of the trigonometric functions

  51. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you need to do it 2 steps

  52. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no, never. I just take basic geometry.

  53. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok look

  54. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1358713814089:dw|

  55. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    do you remember what was the sinus and what was the cosinus?

  56. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    (sigh) I don't remember. (honest, i don't want to be mean to you.)

  57. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    hahaha, dont worry about it, i'll explain again, but you should take note of it because you are going to need it in EVERY problem

  58. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    okay, I'll take your note.

  59. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1358714056382:dw|

  60. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Now you need to MEMORIZE this scheme, mathematics are also a subject to study!

  61. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    now ill draw you a triangle and you'll tell me which is the oppsite and which is the adjacent side ok?

  62. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok.

  63. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1358714498016:dw|

  64. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I think the opposite side is left from angle A the adj side is right from Angle A.

  65. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    nope

  66. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    just read its name

  67. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    opposite = infront of the angle

  68. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    adjacent = sidewards the angle

  69. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    alongside of it

  70. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    fine! Isn't the adjecent side the- How do I Explain it! Isnt the adjecent side the sidewards of the angle?

  71. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    draw it

  72. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1358715165594:dw|

  73. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    no, the other one, that's the hypotenuse

  74. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1358715296994:dw|

  75. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @hba

  76. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yep

  77. hba
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes @Falco276

  78. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @hba please help me!

  79. hba
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @GCR92 is helping you,Just follow him :)

  80. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I have to explain the whole trigonometry before you are able to solve that problem...

  81. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    (sigh) ok.

  82. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I explain as simple as it is, but not simpler

  83. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok

  84. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ok i put the turbo now

  85. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    we are going to solve 2 triangles

  86. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1358715724015:dw|

  87. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    wait. I think I have it.

  88. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    we are going to use the sinus to solve this one, why sinus? because the problem has given us the opposite side, wich is 21 ft

  89. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    For the 45° triangle

  90. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and sinus = op side / h

  91. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and we can make a relationship

  92. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    an equation

  93. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    tan Ө = opposite / adjacent tan Ө = height of the balloon off the ground / x tan 45° = 15 / x x = 15 / tan 45° x = 15 / 1 x = 15

  94. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    is this correct?

  95. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    where did you get 15?

  96. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh, no i meant 21 (facepalm)

  97. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You could've done it if you had the value of the x side

  98. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    but that's what we are looking for

  99. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    to use the tangent you need to have the value of 2 sides

  100. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I'd like to continue now

  101. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1358716138389:dw|

  102. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    why?

  103. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1358716271703:dw|

  104. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1358716355941:dw|

  105. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    now we take the other triangle.

  106. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    the adjacent side is not 21, 21 is the only data they give us, you can't invent it

  107. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    listen i dont want to be mean either but i want to help you and i want to finish, if you think you don't need to do what i tell you to solve it, go ahead

  108. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sin 30 = 1/2, we do that in order to calculate H

  109. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    1/2 = 21 / h

  110. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    h= 42

  111. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    now we take the cosinus in order to calculate X

  112. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    cos 30 = sqrt 3 / 2

  113. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sqrt 3 / 2 = 42 / x

  114. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    x = 36.373

  115. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1358716402610:dw|

  116. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1358717381175:dw|

  117. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1358717481086:dw|

  118. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you can never write tan and let it alone

  119. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    it is always tan OF SOMETHING

  120. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    tan of x, tan of alfa, tan of 20

  121. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    so the answer is 21 sq. root 3

  122. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ill solve it

  123. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    2 triangles

  124. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    take the 30º triangle and then, sin 30 = 1/2

  125. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    1/2 = 21 / h, h = 42

  126. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    now we have the h of the first triangle

  127. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    now we can calculate the distance from the rope to underneath the balloon, that distance will be given by the cosinus

  128. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    cos 30 = sqrt 3 / 2

  129. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sqrt 3 /2 = x/42

  130. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    x = 36,373

  131. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    now we go to the second triangle and apply exactly the same steps but with 45º

  132. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    maybe my way of solving this problem was wrong. sorry.

  133. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i tried my best.

  134. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I know but mathematics doesn't magically happen, you need to study a lot( and suffer lol) dont worry

  135. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    if you do the same with the second triangle

  136. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sin 45 = sqrt 2 / 2

  137. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sqrt 2 / 2 = 21 / h

  138. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    h = 29.698

  139. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    now we calculate the cosinus

  140. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    cos 45 = sqrt 2 / 2

  141. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sqrt 2 / 2 = x / 28,698

  142. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    x = 20,292

  143. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    distance from underneath the ballon to the second rope = 36, 373 + 20,292 = 56,665 feet

  144. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and it's solved

  145. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    wait, but earlier you said that x is 36- never mind :P

  146. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    that's the distance between underneath the balloon and rope 2

  147. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ah, i see.

  148. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and 20,292 ft is the distance between underneath the balloon and rope 1

  149. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    sorry

  150. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    got it.

  151. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    36ft is the distance between rope 2 and 1

  152. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    then you calculate from rope 1 to underneath the ballon and it gives you 20 ft

  153. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you add it and you obtain the final result

  154. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    okay.

  155. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    what i did is totally useless, i mean you can't learn in 20 min, i always believed that a teacher is need in order to learn something, anyway, wish you luck with this!

  156. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    needed*

  157. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you did well! at least you had ideas! you only need to learn the theory well

  158. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    i also think your teachers are crazy though

  159. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    XD Thanks Gonzalo! I promise to keep the theory at heart. Yes, I finally understood the answer and also the work. I'll tell you if need help on anything else.

  160. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You are welcome, sure, see you! :D

  161. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    thanks! (thumbs up)

  162. GCR92
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I also can be wrong, i mean if your teachers yells at you it is my fault, just don't take that in account, it's been ages since i dont take trigonometry :p

  163. Falco276
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    oh, i understand, dont worry! my teachers are really nice.

  164. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.