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18 August, 16:05

A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the ladder with the ground is

59.04 degrees, and the length of the ladder is __

inches.

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  1. 18 August, 16:10
    0
    applying trigonometry

    base = 30inches

    height = 50inches

    angle between ladder and ground = 59.04°

    for the length of the ladder ...

    sin59.04 = opposite side : hypotenuse

    sin59. 04 = 50inches : hypotenuse

    0.8575 = 50 inches : hypotenuse

    cross multiply;

    hypotenuse = 50inches : 0.8575

    the length of the ladder = 58.309inches
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