A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

An airplane is flying at an altitude of 4,600 ft. The pilot sights an object on the ground at an angle of depression of 35°. What is the slant distance from the airplane to the object ?

  • This Question is Closed
  1. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1441671957196:dw|

  2. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    |dw:1441671998905:dw|

  3. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    do you agree with the drawing so far?

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

    Yes I do

  5. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    these angles are congruent |dw:1441673560035:dw| since they are alternate interior angles and we have a pair of parallel lines

  6. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    so in a sense, we have this triangle |dw:1441673599603:dw|

  7. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    do you know how to find x ?

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

    no

  9. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    have you learned of trig functions in your lessons?

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

    No, this is a random question given in a summer assignement, I think I may know, but its better to just explain it to me with the steps

  11. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    oh it's part of a summer worksheet? If you don't know the answer, then it's ok to leave it blank. The teacher wants to see where you are in terms of your math skills. If you don't know the answer, then the teacher knows where to focus the lesson. This will avoid him teaching you things you already know.

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

    Still I wanna know, its being counted as a grade

  13. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    that hardly seems fair to ask you a question you haven't learned about yet, and have it graded

  14. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    is this for geometry or trig class?

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

    trig class, pls just answer the question

  16. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    take a look at this chart http://passyworldofmathematics.com/Images/pwmImagesSix/TrigRatiosSeven550x398JPG.jpg which two sides are we using?

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

    adjacent and opp?

  18. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    no, opp and hyp look at the chart again and verify what I'm saying is correct |dw:1441675548088:dw|

  19. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    agreed? or no?

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

    agree

  21. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    which trig function uses opp and hyp together?

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

    sin or soh as in from sohcahtoa

  23. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yes

  24. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    so sin(angle) = opp/hyp sin(35) = x/4600

  25. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    using a calculator, what is `sin(35)` equal to?

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

    -0.42818266949

  27. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    make sure you are in degree mode what calculator do you have?

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

    I just use google to calculate it, I dont have a graphing calculator..sorry can you get the result for it

  29. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    use this calculator http://web2.0calc.com/

  30. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    try it again and tell me what you get for the value of `sin(35)`

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

    0.573576436351

  32. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    good

  33. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    so `sin(35) = x/4600` is the same as `0.573576436351 = x/4600`

  34. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    at this point, the trig stuff is gone and we have a normal algebraic equation solve for x to get x = ??

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

    -4599.426423563649?

  36. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    idk how you got that

  37. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    what steps did you do to get that?

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

    I think that was wrong, but I have to get x by it self right. So i would need to subtract 4600- 0.573576436351

  39. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    hint: undo division (what operation is the opposite of division?)

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

    multiplication

  41. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yes

  42. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    multiply both sides by ________ (fill in the blank)

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

    4600? idk please help

  44. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yes, multiply both sides by 4600 to isolate x

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

    I got x=2638.4516072146

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

    But thats not one of the options

  47. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    what are your options?

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

    There

    1 Attachment
  49. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    oh my bad, I mixed up opp and hyp and I'm just realizing that

  50. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    sin(angle) = opp/hyp sin(35) = 4600/x 0.573576436351 = 4600/x 0.573576436351*x = x*4600/x ... Multiply both sides by x. 0.573576436351*x = 4600 do you see how to isolate x?

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

    in this case use 0.573576436351 to multiply on both sides?

  52. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    you have to undo the multiplication in 0.573576436351*x

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

    please demonstrate

  54. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    what undoes multiplication?

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

    division?

  56. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yes, you'll divide both sides by _______ (fill in the blank)

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

    0.573576436351?

  58. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yes, divide both sides by that value

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

    8019.8552598576954158?

  60. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    correct, which rounds to 8019.86

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

    Thanks mate :)

  62. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    you're welcome

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

    Can you help me with this one too: A large totem pole near Kalama, Washington, is 154 ft tall. On a particular day at noon it casts a 198 ft shadow. What is the sun's angle of elevation at that time?

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

    here are the options

    1 Attachment
  65. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    are you able to draw a picture of the problem?

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

    I am not, I cannot display it

  67. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    how about on paper? are you able to draw out the triangle?

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

    not really, I have no scanners, no tools on my pc nothing, I can still understand without a photo

  69. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    no I mean just for you to see you can describe the picture to me

  70. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    draw out the triangle and then describe the picture

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

    Yeah I cant see it, cause I dont understand how to draw it sorry

  72. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    try to imagine what it would look like in real life draw a vertical pole, then a shadow. what forms?

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

    okay totem pole at right (154 ft), and a shadow at the back of the pole which is 198 ft , and the sun at the top of pole giving the shadow to pole

  74. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    you should have this |dw:1441679942494:dw|

  75. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    which angle do they want? mark it on my drawing

  76. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    click on the pencil to mark on my drawing

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

    |dw:1441680351616:dw|

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

    that one?

  79. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    it's asking `What is the sun's angle of elevation at that time?` the angle of elevation is actually this angle |dw:1441680645165:dw|

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

    ohh okay

  81. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    look at that chart I posted above which sides are the 154 and 196 with respect to that marked angle?

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

    154=totem, and 198=shadow

  83. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    I meant in terms of opp, hyp, adj

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

    oh my bad, it would be: addj, and opp?

  85. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yeah let's label our drawing with those |dw:1441680960957:dw|

  86. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    what trig function uses opp and adj?

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

    tan

  88. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    yep

  89. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    tan(angle) = opp/adj tan(x) = 154/198 I'm making the angle to be x for now

  90. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    now you'll use that calculator I gave you above and type in `arctan(154/198)` the arctan function is the inverse of tangent. It helps find the angles

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

    37.874983651098 ?

  92. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    correct

  93. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    so the angle of elevation is approx 37.87 degrees

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

    ahh okay thanks

  95. jim_thompson5910
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 2

    you're welcome

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.