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anonymous

  • 5 years 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. If the hot air balloon is 18 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?

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  1. anonymous
    • 5 years ago
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    Use basic trigonometric formulas and you will get the answer.....give it a try

  2. anonymous
    • 5 years ago
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    im trying but im so stuck :/

  3. anonymous
    • 5 years ago
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    ok so draw the figure and then try ......there is an option down called draw...use it and draw the figure then let me tell u the step by step procedure

  4. anonymous
    • 5 years ago
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    Draw a picture, |dw:1326910244892:dw|, then figure out the lengths of the distance between the middle point of the triangle and the second rope (the one at a 30 degree angle). Take the problem one step at a time

  5. anonymous
    • 5 years ago
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    |dw:1326910345044:dw|

  6. anonymous
    • 5 years ago
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    |dw:1326910115983:dw|

  7. anonymous
    • 5 years ago
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    sorta! i can draw in this at all

  8. anonymous
    • 5 years ago
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    Balloon 18 feet in air held by two ropes forming two right triangles. Rope 1 forms a base angle of 45 degrees. Rope 2 forms a base angle of 30 degrees.

  9. anonymous
    • 5 years ago
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    ok so now how do i find the answer!

  10. anonymous
    • 5 years ago
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    use one of the trig ratios sin cos or tan the second rope refers to the angle 30 degrees i guess

  11. anonymous
    • 5 years ago
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    i dont know..thats why i posted this...

  12. anonymous
    • 5 years ago
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    you need to find which side is opposite the 30 degrees and which is adjacent- does that help?

  13. anonymous
    • 5 years ago
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    so the hypotenuse??????

  14. anonymous
    • 5 years ago
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    can you just give me the answer it will save me so much time.,..

  15. anonymous
    • 5 years ago
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    no - the hypotenuse is the longest side of the rt angled triangle - in this case its the rope the opp side is the 18 ft and ground length(which is what you need is adjacent ( to 30 degree angle} so u need the ration which is opposite / adjacent which is ??

  16. anonymous
    • 5 years ago
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    im not working on those tho!! im working on 45-45-0 and 30-60-90 triangles

  17. anonymous
    • 5 years ago
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    ok i can give u the answer - i was also trying to help you with the concept ok in 30-60-90 triangle, side opposite 30 degrrees is 1 and adjacent is 2 so 1 / 2 = 18 / x x = 36 - thats the distance you require

  18. anonymous
    • 5 years ago
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    oh no - i'm an idiot - sorry opp side is 1 and adjacent is sqrt3 so 1 / sqrt3 = 18 / x so x = 18*sqrt3

  19. anonymous
    • 5 years ago
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    so what is the main answer????

  20. anonymous
    • 5 years ago
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    correct is 18*sqrt3 or 31.18 feet to 2 dec places

  21. anonymous
    • 5 years ago
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    thanks..

  22. anonymous
    • 5 years ago
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    yw

  23. anonymous
    • 5 years ago
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    well, i have another wuestion but are you able to answer it in a simpler way?

  24. anonymous
    • 5 years ago
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    yea

  25. anonymous
    • 5 years ago
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    ok...one second please.

  26. anonymous
    • 5 years ago
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    In the figure below, the length of line segment CB is 64 units and the length of line segment BG is 137 units. What is the length of line segment EA?

  27. anonymous
    • 5 years ago
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    i will draw it one moment

  28. anonymous
    • 5 years ago
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    |dw:1326911563739:dw|

  29. anonymous
    • 5 years ago
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    length of BA = BC = 64 so length of AG = 137 - 64 = 73 as angle EAG = 60 degrees AG / EA = 1/2 so 73 / EA = 1/2 EA = 2*73 = 146

  30. anonymous
    • 5 years ago
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    so the answer is 146?

  31. anonymous
    • 5 years ago
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    yes 146

  32. anonymous
    • 5 years ago
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    ok! and i promise this is the last one i have 1 more.

  33. anonymous
    • 5 years ago
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    A toddler’s playground has two slides on either side. The slide on the left is situated at a 45° angle to the ground and is 52 centimeters away from the base of the playground. The slide on the right is positioned at a 30° angle to the ground and is 98 centimeters away from the playground’s base. What is the total length of both slides on this playground rounded to the nearest tenth of a centimeter? Playground with two slides. Left slide has base measuring 52 centimeters and base angle of 45 degrees. Right slide has base measuring 98 centimeters and base angle of 30 degrees.

  34. anonymous
    • 5 years ago
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    do you need me to draw this?

  35. anonymous
    • 5 years ago
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    no its alright ill draw it

  36. anonymous
    • 5 years ago
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    ok i think it is asking for perimeter? im not quite sure though.

  37. anonymous
    • 5 years ago
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    |dw:1326912527404:dw|

  38. anonymous
    • 5 years ago
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    445.287? i think that is the correct answer

  39. anonymous
    • 5 years ago
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    no sorry..i screwed that up im stupid..

  40. anonymous
    • 5 years ago
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    no wait..thats correct. i believe.

  41. anonymous
    • 5 years ago
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    its asking for the lengths of the slides themselves - the sloping parts

  42. anonymous
    • 5 years ago
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    so 165.167?

  43. anonymous
    • 5 years ago
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    45 degree slide has length 52sqrt2 30 ................................ 98*2 = 196 total is 269.54

  44. anonymous
    • 5 years ago
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    oh....ok

  45. anonymous
    • 5 years ago
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    yourmom the first slide measure comes to 52/sin 45 and the next one is 98/sin 30

  46. anonymous
    • 5 years ago
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    what we are finding is lengths of hypotenuse

  47. anonymous
    • 5 years ago
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    i know that. so one second.

  48. anonymous
    • 5 years ago
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    so like jimmyrep says 269.54 is the answer

  49. anonymous
    • 5 years ago
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    i put that and got it wrong..thanks..

  50. anonymous
    • 5 years ago
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    that was wrong but thanks anyway..

  51. anonymous
    • 5 years ago
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    sorry your mom it comes to 263.54

  52. anonymous
    • 5 years ago
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    its ok b

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