Question

An escalator from the ground floor to the second floor of a department store is 110 feet long and rises 32 feet vertically. What is the escalator's angle of elevation, round to the nearest degree?

A) 16 degrees
B) 20 degrees
C) 24 degrees
D) 28 degrees

Answer 1

The escalator's angle of elevation is approximately 16 degrees.

Step-by-step explanation:

To find the angle of elevation of the escalator, we can use trigonometry. We can use the formula tan(angle) = h/l, where h is the vertical rise and l is the length of the escalator. In this case, h = 32 feet and l = 110 feet.

Substituting the given values into the formula, we have tan(angle) = 32/110. Taking the inverse tangent of both sides, we find that the angle is approximately 16 degrees.

Therefore, the escalator's angle of elevation is approximately 16 degrees.