Question

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

Answer 1

Answer:

78.3 or 78.29

Step-by-step 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

$\sin(theta) = \frac{opp}{hypo}$

Plug in the values

$\sin(31) = \frac{x}{152}$

Which is about 78.29