Question

An escalator 152 feet in length rises to a platform and makes a 31° angle with the ground. Find the height of the

platform above the ground.

Answer 1

78.3 or 78.29

Explanation:

We are asked to find the height of the figure which is the vertical side of the triangle. We are given an angle and we are a side opposite of that angle( the height of the platform) and the hypotenuse 152. So we are going to use sine.

Opposite/Hypotenuse

We use this equation

`\sin(theta) = (opp)/(hypo)`

Plug in the values

`\sin(31) = (x)/(152)`

Which is about 78.29