Question

An escalator lifts people to the second floor of a building, 28 ft

above the first floor. The escalator rises at a 30° angle. To the
nearest foot, how far does a person travel from the bottom to,
the top of the escalator?

Answer 1

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Answer:

56 ft

Explanation:

The geometry can be modeled by a right triangle with an unknown hypotenuse, and a side opposite the 30° angle that is 28 ft.

sin(30°) = (28 ft)/hypotenuse

hypotenuse = (28 ft)/sin(30°) = 56 ft

The length of the escalator is 56 feet.