## leenieluvsdogs 4 years ago Suppose you live 3.6 miles from a hill. From your home you see a plane directly above the hill. Your angle of elevation to the plane is 11°. What is the plane’s altitude?

1. zhill1337

one sec, trying to work it out now.

2. leenieluvsdogs

okay thanks :)

3. a_kaffash

i'll tell u!

4. leenieluvsdogs

ok :)

5. heromiles

3643.2 feet

6. leenieluvsdogs

thats not right?

7. geekwannabe

imagine...it's a right triangle....your house to the hill is adjacent, down hill to the plane is Opposite or the altitude... so so tan (11) = opp/ adj = opp/ 3.6 => Opp = tan(11 degree) x 3.6

8. heromiles

why not?

9. leenieluvsdogs

its not an option on the mulitipul choice.....

10. heromiles

well .69 miles

11. leenieluvsdogs

geekwannabe is right his/her answer is an option thanks! geek!

12. geekwannabe

you're welcome!

13. zhill1337

.69 seems awfully low hahahaha

14. heromiles

The answer isn't in terms of miles or feet?

15. leenieluvsdogs

the answer has to be in miles

16. geekwannabe

zhill: it could be low since the angle is not too large..

17. a_kaffash

tan 11 * 3.6 = 0.69987 miles!!!!!!1

18. heromiles

lol, I know

19. heromiles

I think I should get credit for my correct answer

20. leenieluvsdogs

so im getting 3 diff answers here so what is the real answer????

21. a_kaffash

Mine!

22. zhill1337

lolwut? but i guess if it makes logical sense....too bad the plane isnt gonna make it too far over the hill if its on a negative slope haha.

23. a_kaffash

but your question is not correct man!

24. geekwannabe

it's all correct, just you choosing the way to round the numbers...

25. heromiles

a_kaffash, I said .69 miles before you lol

26. leenieluvsdogs

well obvously tou are all going to say "mine is the corect one"

27. zhill1337

list the multiple choice answers if there are any. we can use deductive reasoning.

28. leenieluvsdogs

ok

29. a_kaffash

But i say the question is wrong... if the plane is seen on top of a hill from your home it doesn't mean it is exactly on top of hill

30. a_kaffash

it may be further

31. leenieluvsdogs

0.7 3.5 4.1 and -813.4

32. a_kaffash

so the altitude is more

33. a_kaffash

get it??

34. leenieluvsdogs

ok so that leaves the answer to be???? b?

35. a_kaffash

Hmmm! no ore details on question?

36. leenieluvsdogs

nope.....

37. leenieluvsdogs

the answers are all in miles by the way...

38. zhill1337

im looking over this atm if anyone is interested. pertains to her problem... http://www.teacherschoice.com.au/maths_library/trigonometry/solve_trig_sss.htm

39. leenieluvsdogs

let me give you the topic my teacher put it under give me 1 second...

40. leenieluvsdogs

Use trigonometric ratios to find angles of elevation and angles of depression.

41. leenieluvsdogs

42. heromiles

You already have the angle of elevation

43. a_kaffash

look at this!

44. heromiles

a_kaffash, you're wrong, the angle of elevation does not mean the plane will be on top of the hill, so the answer is .7 miles

45. leenieluvsdogs

ok? obviously this question is stumping everyone ill try a different site or heck go to my tutor lol ... thanks for tryin tho....... have a great sunday everyone.... good bye.... :)

46. a_kaffash

bye

47. leenieluvsdogs

tell you what, ill setel this ill put the one i think then ill come back and tell you who ws right?

48. leenieluvsdogs

I GOT THE ANSWER!

49. leenieluvsdogs

okay here it is ...... 0.7!!!!!!

50. heromiles

Um, I told you that already...lol

51. heromiles

.69 rounds to .7

52. leenieluvsdogs

i know but the others were saying other things

53. heromiles

You didn't specify what the units of the answer should be in...

54. zhill1337

one sec im working on it. seeing if i get the same answer only im solving for every side and every angle to be sure....if your patient with me i should be able to double check.

55. zhill1337

.69 is correct. shockingly.

56. zhill1337

wait

57. zhill1337

yea ok hes good.

58. heromiles

zhill, why are you so surprised? lol!

59. zhill1337

cuz logically i couldnt see a plane being that low an altitude hahahahaha.

60. zhill1337

you gotta be landing, prepin for bailout, or a really horrible, paraplegic down syndrome pilot to be that low to the ground. or at least have a legit reason hahahah.

61. zhill1337

3,500 ft seems a little low for my taste haha.

62. geekwannabe

this problem is now going to deep theory lol