Question

A 28 first slide at a waterpark makes an angle of 60° with the ground as it descends into a pool. What is a vertical distance from the top of the slide to the ground

Answer 1

The vertical distance from the top of the slide go the ground is 24.25 feet

Explanation:

Here, we want to calculate the vertical distance from the top of the slide to the ground.

To answer this properly, we shall need the aid of a diagram. Please check the attachment for this;

Mathematically, to calculate this vertical distance, we shall be employing the use of a trigonometric ratio since the shape we are considering is a right-angled triangle

The vertical distance faces the angle given and we can refer to it as the opposite. The length of the slide refers to the hypotenuse

So the trigonometric ratio we are to use will consider the opposite and the hypotenuse

This is the sine

Mathematically sine of an angle = length of the opposite/length of the hypotenuse

let’s call the length of the opposite x

sin 60 = x/28

x = 28 sin 60

x = 24.248 which is 24.25 feet