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Right Triangles and Trigonometry

SAT Math· difficulty 3/5

In a right triangle with legs 11 and 3\sqrt{3}, what is the measure of the angle opposite the leg of length 3\sqrt{3}?

  • A

    60°60°

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  • B

    30°30°

  • C

    45°45°

  • D

    90°90°

Explanation

tan⁡θ=31=3\tan\theta=\frac{\sqrt{3}}{1}=\sqrt{3}, so θ=60°\theta=60°.

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