There is an escalator that is 1090.3 feet long and drops a vertical distance of 193.4 feet. What is

Discussion in 'Calculator Requests' started by math_celebrity, Apr 7, 2019.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    There is an escalator that is 1090.3 feet long and drops a vertical distance of 193.4 feet. What is its angle of depression?

    The sin of the angle A is the length of the opposite side / hypotenuse.
    sin(A) = Opposite / Hypotenuse
    sin(A) = 193.4 / 1090/3
    sin(A) = 0.1774

    We want the arcsin(0.1774).
    A = 10.1284
     
    math_celebrity, Apr 7, 2019
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