# An escalator in a department store is to carry people a vertical distance of 20 feet between floors. How long is the escalator if it makes an angle of 60^circ with the ground?

Jun 11, 2018

I got $23 \text{ft}$

#### Explanation:

Consider the diagram:

from Trigonometry we get:

$20 = \mathrm{ds} \in \left({60}^{\circ}\right)$

rearranging:

$d = \frac{20}{\sin \left({60}^{\circ}\right)} = 23 \text{ft}$