PLEASE HELP! An escalator in the mall rises to a platform and makes a 30 degrees angle with the ground. If the platform is 76 feet above the ground, how long is the escalator?

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asked Oct 1, 2022 188k views

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Geeky Quentin · Answer 1 · 2022-10-07T18:58:54+0000

9514 1404 393

Answer:

152 feet

Explanation:

A triangle modeling the situation has the unknown length as its hypotenuse, and the given platform height as the side opposite the angle. The relevant trig function is ...

Sin = Opposite/Hypotenuse

sin(30°) = (76 feet)/(escalator length)

escalator length = (76 feet)/sin(30°) = (76/0.5) feet

escalator length = 152 feet

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PLEASE HELP! An escalator in the mall rises to a platform and makes a 30 degrees angle with the ground. If the platform is 76 feet above the ground, how long is the escalator?

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