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math

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The top of a 15-foot ladder is 3 ft. father up a wall than the foot of the ladder is from the bottom of the wall. How far is the foot of the ladder from the bottom of the wall?

  • math - ,

    Let x be the distance of the foot from the wall. Then use the Pythagorean theorem.
    x^2 + (x+3)^2 = 15^2 = 225
    2x^2 +6x -216 = 0
    x^2 +3x -108 = 0
    That factors easily. (Think: 9x12 = 108)Take the positive root.

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