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. 22 feet 24 feet 39 feet 72 feet.

Answer 1

As for the right angle triangle the ratio of opposite side to the hypotenuse side is equal to the sine angle.

The distance of the top of the slide from the ground is 24 foot (to nearest foot). Thus option 3 is the correct option.

What is right angle triangle?

A right angle triangle is a triangle in which, one of the angle measures equals to the 9 degrees.

Given information

The angle of depression from top of the slide to the pool is 31. 66°.

The height of the slide is 46 feet.

Image is attached below for the given problem.

As for the right angle triangle the ratio of opposite side to the hypotenuse side is equal to the sine angle.

Thus,

$\sin(31.6^o)=\dfrac{x}{46} \\x=46\times \sin (31.6^o)\\x=46\times 0.5249\\x=24.145$

Hence the distance of the top of the slide from the ground is 24 foot (to nearest foot). Thus option 3 is the correct option.

Learn more about the right angle triangle here;

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