Question

Larissa dives into a pool that is 8 feet deep. She touches the bottom of the pool with her hands 6 feet horizontally from the point at which she entered the water.

What is the approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point?

36.9°
41.4°
48.6°
53.1°

Answer 1

Let θ be the angle of elevation. Then tan θ = (vertical rise)/(horizontal run) = 8/6 = 4/3. So θ = arctan(4/3) ≈ 53.1°.

Answer: 53.1°.