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?

Respuesta :

α - the angle of elevation:
tan α = 8/6 = 1.33333...
α = tan ^(-1) 1.3333...
α ≈ 53.13 °

Angle of elevation is 53.13 °

What is angle of elevation?

The angle of elevation is an angle that is formed between the horizontal line and the line of sight.

According to the question,

The pool is 8 feet deep.

The bottom is 6 feet horizontally from the point at which she entered the water.

Here , θ is  the angle of elevation:

By using the formula of angle of elevation

tan θ = [tex]\frac{h}{x}[/tex]

tan θ = [tex]\frac{8}{6}[/tex]

tan θ = 1.33333...

So ,  θ  = [tex]tan ^{-1} ( \frac{h}{x} )[/tex]

θ = [tex]tan ^{-1} ( 1.3333...)[/tex]

θ ≈ 53.13 °

The approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point is  53.13 °

Learn more about angle of elevation here:

https://brainly.com/question/21137209

#SPJ5