An escalator in a department store is to carry people a vertical distance of 90 feet between floors. How long is the escalator if it makes an angle of 30° with the ground? answer in feet ...?

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22-11-2016
Mathematics

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An escalator in a department store is to carry people a vertical distance of 90 feet between floors. How long is the escalator if it makes an angle of 30° with the ground? answer in feet ...?

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MissPhiladelphia MissPhiladelphia · Answer 1 · 2016-11-23T10:20:33+01:00

There are several information's of immense importance already given in the question. Based on those given information's, the answer can be easily deduced.
Vertical distance between the floors = 90 feet
Angle of the escalator with the ground = 30 degrees
Let us assume the length of the escalator = x feet
Then
Sin (30) = 90/x
0.5 = 90/x
x = 90/0.5
= 180 feet

I hope the procedure is clear enough for you to understand and this is the answer that has come to your desired help.