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?

- anonymous

- katieb

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- anonymous

one sec, trying to work it out now.

- anonymous

okay thanks :)

- anonymous

i'll tell u!

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## More answers

- anonymous

ok :)

- anonymous

3643.2 feet

- anonymous

thats not right?

- anonymous

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

- anonymous

why not?

- anonymous

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

- anonymous

well .69 miles

- anonymous

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

- anonymous

you're welcome!

- anonymous

.69 seems awfully low hahahaha

- anonymous

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

- anonymous

the answer has to be in miles

- anonymous

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

- anonymous

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

- anonymous

lol, I know

- anonymous

I think I should get credit for my correct answer

- anonymous

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

- anonymous

Mine!

- anonymous

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.

- anonymous

but your question is not correct man!

- anonymous

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

- anonymous

a_kaffash, I said .69 miles before you lol

- anonymous

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

- anonymous

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

- anonymous

ok

- anonymous

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

- anonymous

it may be further

- anonymous

0.7 3.5 4.1 and -813.4

- anonymous

so the altitude is more

- anonymous

get it??

- anonymous

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

- anonymous

Hmmm! no ore details on question?

- anonymous

nope.....

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

##### 1 Attachment

- anonymous

You already have the angle of elevation

- anonymous

look at this!

##### 1 Attachment

- anonymous

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

- anonymous

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.... :)

- anonymous

bye

- anonymous

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

- anonymous

I GOT THE ANSWER!

- anonymous

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

- anonymous

Um, I told you that already...lol

- anonymous

.69 rounds to .7

- anonymous

i know but the others were saying other things

- anonymous

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

- anonymous

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.

- anonymous

.69 is correct. shockingly.

- anonymous

wait

- anonymous

yea ok hes good.

- anonymous

zhill, why are you so surprised? lol!

- anonymous

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

- anonymous

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.

- anonymous

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

- anonymous

this problem is now going to deep theory lol

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