Question

An observer (O) is located 900 feet from a building (B). The observer notices a helicopter (H) flying at a 49° angle of elevation from his line of sight. How high is the helicopter flying over the building? You must show all work and calculations to receive full credit.

Answer 1

Well we are given the side adjacent to the angle and we are trying to find the side opposite of the angle, which trig function is \(\large \frac{opposite}{adjacent}\)?

Answer 2

Remember SOHCAHTOA

Answer 3

What it is SOHCAHTOA

Answer 4

Here read this: http://prntscr.com/45yheq It is a good thing to remember

Answer 5

Since the tangent of the angle= opposite over the adjacent, we can say that from the diagram
\(\large tan(49)=\frac{h}{900}\)

Answer 6

That makes the height=\(900~tan(49)\) which you can find using a calculator

Answer 7

1035.33

Answer 8

@Venny am I right

Answer 9

Yes you are right