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°

This is the concept of trigonometry, to get the angle of elevation we proceed as follows;
tan theta=opposite/adajcent
opposite=8
adjacent=6
thus
tan theta=8/6=4/3
then;
theta=tan^1(4/3)
theta=53.13
The answer is D] 53.13

The correct answer is:

53.1°.

Explanation:

This forms a right triangle. The vertical leg of the right triangle is the depth of the pool, 8 ft. The horizontal leg of the triangle is the horizontal distance from her entry point, 6 ft.

The angle of elevation is the angle between the hypotenuse and the horizontal leg.

The sides we have are opposite this angle and adjacent to it; opposite/adjacent is the ratio for tangent.

Let x be the measure of the angle of elevation. We can set up the following equation:
tan x = 8/6.

To undo tangent, we use inverse tangent:
tan⁻¹(tan x) = tan⁻¹(8/6)
x = 53.1°