Right Triangles and Trigonometry

SAT Math· difficulty 2/5

In a right triangle, the hypotenuse is 1313 and one leg is 55. What is sin\sin of the angle opposite the leg of length 55?

  • A

    513\frac{5}{13}

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  • B

    512\frac{5}{12}

  • C

    1213\frac{12}{13}

  • D

    135\frac{13}{5}

Explanation

sinθ=oppositehypotenuse=513\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{5}{13}.

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