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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?

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 class=

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sqdancefan

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Answer:

  50 ft

Step-by-step 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