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

Length of the escalator is 33.94 feet.

Explanation:

In the attached figure we can see that

`sin(\theta )=(V)/(L)`

It is given that

angle = 45

Vertical Height 'V' = 24 feet

Applying values in the above equation we get

`sin(45^(o))=(24)/(L)\\\\(1)/(√(2))=(24)/(L)\\\\ \therefore L=24* √(2)\\\\L=33.94feet`