Question

An escalator from the ground floor to the second floor of a department store is 110 ft long and 32 ft vertical. What is the escalator’s angle of elevation?

Answer 1

Answer: 16.91°

Step-by-step explanation:

1. You can draw a right triangle as you can see in the figure attached.

2. Then you can calculate the angle of elevation (α) as following:

$\alpha=arcsin(\frac{opposite}{hypotenuse})$

Where:

$opposite=32\\hypotenuse=110$

3. Now you must substitute these values. Then, the angle of elevation is:

 $\alpha=arcsin(\frac{32}{110})$

$\alpha=16.91\°$