Question

Isabell is standing at the top of a waterslide that leads to a pool below. The angle of depression from top of the slide to the pool is 31.66°, and the slide is 46 feet long. How far is the top of the slide from the ground? Round your answer to the nearest foot.

Group of answer choices

22 feet

24 feet

39 feet

72 feet

Answer 1

It would look something like this, where you need to find the height, being "x."
Given the adjacent side and hypotenuse, it would be best to use the trig function of cosine.

Setting it up you get something like this:
\[\large cos(31.66) =\frac{x}{46} \]
Just multiply both sides by 46 and you'll get the answer:

\[\large x= cos(31.66)*46\]

Answer 2

My mistake, it should be the angle of 90-31.66

so
\[\large cos(58.34) \]

Answer 3

let the height be h.
\[\frac{ h }{ 46}=\sin 31.66\]
\[h=46 \sin 31.66\approx 24.14'\approx 24 ~feet\]