A chemical distillation tower, 110 m high is supported by cables of length L that reach from the top of the column to the ground at a distance D from the base of the tower. If D is 1/3 the length of a cable, find L and D.

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  1. Pythagorus to the rescue!

    L^2 = 110^2 + (L/3)^2
    L = 116.67
    so, D = 38.89

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