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math

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a 15 ft ladder is palced against a wall such that its base is 9 ft away from the wall. if the base of the ladder is moved to 6 ft away from the wall, by about how much will the top of the ladder move up the wall?

  • math -

    at 9 ft, you have a 9-12-15 triangle.

    at 6 ft, the ladder reaches to height h, where

    6^2 + h^2 = 15^2
    h = 13.75 ft

    so, the ladder has moved up 1.75 ft

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