Lines, Angles, and Triangles

SAT Math· difficulty 4/5

A wire is stretched from the top of a 30-foot pole to the ground 40 feet from the base of the pole. How long is the wire?

  • A

    50 feet

    check_circle
  • B

    70 feet

  • C

    60 feet

  • D

    900\sqrt{900} feet

Explanation

By the Pythagorean theorem: sqrt302+402=sqrt2500=50\\sqrt{30^2 + 40^2} = \\sqrt{2500} = 50 feet. (3-4-5 triple scaled.)

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