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AP Calculus AB· difficulty 3/5

L=10 y x wall

A 10-ft ladder slides; xx and yy are the distances shown. Which equation always holds?

  • A

    x+y=10x + y = 10

  • B

    xy=10xy = 10

  • C

    x2+y2=100x^2 + y^2 = 100

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  • D

    x2−y2=100x^2 - y^2 = 100

Explanation

By the Pythagorean theorem, x2+y2=L2=100x^2 + y^2 = L^2 = 100.

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