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Math

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A wire is stretched from the top of a 12-foot pole to a stake in the ground and then to the base of the pole. If a total of 20 feet of wire is needed, how far is the stake from the pole (the answer is NOT 16)

  • Math -

    8 feet

  • Math -

    Let x be the distance.

    √(x^2 + 12^2) + x = 20
    √(x^2 + 144) = 20 - x
    x^2 + 144 = 400 - 40x + x^2
    40x - 256 = 0
    x = 6.4

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