Escalator rises 25 degrees from the ground and a vertical distance of 42 feet. how much horizontal distance does the escalator cover?

Question

Mathematics

Jaiden Shea

20 July, 21:07

Escalator rises 25 degrees from the ground and a vertical distance of 42 feet. how much horizontal distance does the escalator cover?

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Answers (1)

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Aarav Ferrell · Answer 1

It would be best if you sketch the statement in the problem. You will see that a right triangle would be made where the hypotenuse would be the length of the escalator. The horizontal distance would be the base and the vertical distance would be the height. We can use trigonometric functions to solve the base.

angle = 25 degrees

height = 42 ft

tan (25) = height / base = 42 / base

base = 90.07 ft