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Lines, Angles, and Triangles

SAT Math· difficulty 4/5

In a right triangle, tantheta=frac512\\tan\\theta = \\frac{5}{12}. What is sintheta\\sin\\theta?

  • A

    512\frac{5}{12}

  • B

    1213\frac{12}{13}

  • C

    513\frac{5}{13}

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  • D

    135\frac{13}{5}

Explanation

tantheta=fractextopptextadj=frac512\\tan\\theta = \\frac{\\text{opp}}{\\text{adj}} = \\frac{5}{12}. Hypotenuse =sqrt25+144=13= \\sqrt{25 + 144} = 13. So sintheta=frac513\\sin\\theta = \\frac{5}{13}.

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