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Right Triangles and Trigonometry

SAT Math· difficulty 3/5

A ladder leans against a wall making a 60°60° angle with the ground. The ladder is 1212 ft long. How high up the wall does it reach?

  • A

    636\sqrt{3} ft

    check_circle
  • B

    12312\sqrt{3} ft

  • C

    434\sqrt{3} ft

  • D

    66 ft

Explanation

Height =12sin⁡60°=12⋅32=63=12\sin 60°=12\cdot\frac{\sqrt{3}}{2}=6\sqrt{3}.

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