Question

An escalator in a department store makes an angle of 45∘with the ground. How long is the escalator if it carries people a vertical distance of 24 feet?

Answer 1

Answer:

Length of the escalator is 33.94 feet.

Step-by-step explanation:

In the attached figure we can see that

$sin(\theta )=\frac{V}{L}$

It is given that

angle = 45

Vertical Height 'V' = 24 feet

Applying values in the above equation we get

$sin(45^{o})=\frac{24}{L}\\\\\frac{1}{\sqrt{2}}=\frac{24}{L}\\\\ \therefore L=24\times \sqrt{2}\\\\L=33.94feet$