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Lines, Angles, and Triangles

SAT Math· difficulty 4/5

A ladder of length 25 feet leans against a wall. The base of the ladder is 7 feet from the wall. How high up the wall does the ladder reach?

  • A

    18 feet

  • B

    24 feet

    check_circle
  • C

    674\sqrt{674} feet

  • D

    32 feet

Explanation

By the Pythagorean theorem: 72+h2=2527^2 + h^2 = 25^2, so h2=625−49=576h^2 = 625 - 49 = 576, giving h=24h = 24 feet. (Pythagorean triple 7-24-25.)

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