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A ladder is resting against a wall. The top of the ladder touches the wall at a height of 20ft. Find the length of the ladder if its length is 4 ft more than its distance from the wall.

  • math -

    Use your good old Pythagorean theorem:
    H = 20
    L = D+4

    L^2 = H^2 + D^2
    (D+4)^2 = 20^2 + D^2
    D^2 + 8D + 16 = 400 + D^2
    8D = 384
    D = 48
    L = 52 ft

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