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23 December, 12:35

A 12 ft ladder leaning againist a house make a 64 degree angle with the ground will the ladder reach a window till that is 10.5 ft up from the base of the house?

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  1. 23 December, 12:49
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    In triangle ABC

    AC = hypotenuse = length of ladder = 12 ft

    BC = opposite = height on the wall of house = h

    θ = angle of the ladder with the horizontal = 64 deg

    using trigonometric formula

    Sinθ = opposite/hypotenuse

    Sinθ = BC/AC

    Sinθ = h/L

    Sin64 = h/12

    h = 12 Sin64

    h = 10.8 ft

    since h > 10.5 ft (height of the window)

    hence the ladder reach well above the window
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