Answered

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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?

Sagot :

sqdancefan

9514 1404 393

Answer:

  56 ft

Step-by-step 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.

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