Question

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?

Answer 1

one sec, trying to work it out now.

Answer 2

okay thanks :)

Answer 3

i'll tell u!

Answer 4

ok :)

Answer 5

3643.2 feet

Answer 6

thats not right?

Answer 7

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

Answer 8

why not?

Answer 9

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

Answer 10

well .69 miles

Answer 11

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

Answer 12

you're welcome!

Answer 13

.69 seems awfully low hahahaha

Answer 14

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

Answer 15

the answer has to be in miles

Answer 16

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

Answer 17

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

Answer 18

lol, I know

Answer 19

I think I should get credit for my correct answer

Answer 20

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

Answer 21

Mine!

Answer 22

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.

Answer 23

but your question is not correct man!

Answer 24

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

Answer 25

a_kaffash, I said .69 miles before you lol

Answer 26

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

Answer 27

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

Answer 28

ok

Answer 29

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

Answer 30

it may be further

Answer 31

0.7 3.5 4.1 and -813.4

Answer 32

so the altitude is more

Answer 33

get it??

Answer 34

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

Answer 35

Hmmm! no ore details on question?

Answer 36

nope.....

Answer 37

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

Answer 38

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

Answer 39

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

Answer 40

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

Answer 41

You already have the angle of elevation

Answer 42

look at this!

Answer 43

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

Answer 44

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.... :)

Answer 45

bye

Answer 46

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

Answer 47

I GOT THE ANSWER!

Answer 48

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

Answer 49

Um, I told you that already...lol

Answer 50

.69 rounds to .7

Answer 51

i know but the others were saying other things

Answer 52

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

Answer 53

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.

Answer 54

.69 is correct. shockingly.

Answer 55

wait

Answer 56

yea ok hes good.

Answer 57

zhill, why are you so surprised? lol!

Answer 58

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

Answer 59

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.

Answer 60

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

Answer 61

this problem is now going to deep theory lol