Question

An escalator lifts people to the second floor of a building 25 feet above the first floor. The escalator rises at a 30 degree angle. How far does a person travel from the bottom to the top of the escalator?

Answer 1

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Answer:

50 ft

Explanation:

The side lengths in a 30-60-90 triangle have the ratios 1 : √3 : 2. The longest side is 2 times the length of the shortest side.

In this geometry, that means the length of the escalator is 2 times its height, so is ...

x = 2(25 ft)

x = 50 ft . . . . . distance a person travels