An observer (O) is located 660 feet from a tree (T). The observer notices a hawk (H) flying at a 35° angle of elevation from his line of sight. How high is the hawk flying over the tree? You must show all work and calculations to receive full credit.

Question

anonymous · Answer

attachment

campbell_st · Answer

use the tan ratio to find the height

anonymous · Answer

I know its opposite/adjacent but thats about all i know lol

anonymous · Answer

Well angle H is 35º because of alternate interior angles

anonymous · Answer

Angle OHT is 55º because it is a complementary angle with angle H and must add up to 90º

anonymous · Answer

Now that we know that we know two angle measurements of triangle OHT we can figure the problem out by using the ASA postulate

anonymous · Answer

Im confused, ive never heard of ASA postulate. lol I know have to use the tangent ratio somewhere in this problem lol .

anonymous · Answer

sorry im brain dead when it comes to math

anonymous · Answer

You actually need to use sin

anonymous · Answer

The answer is 462.136975218
or 462.14

anonymous · Answer

how did you get that ?

anonymous · Answer

I used sin

anonymous · Answer

$$(660•\sin(35))/\sin(55)$$

anonymous · Answer

how do i prove where i got the 55 from

anonymous · Answer

nevermind i get it, lol thankyou

campbell_st · Answer

the answer to the question is as simple 

$$\tan(35) = \frac{h}{660}$$

make h the subject and you get

$$h = 660 \times \tan(35)$$

calculate the value of h, and then you can answer how high the hawk is. 

hope it makes sense