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Lines, Angles, and Triangles

SAT Math· difficulty 3/5

In a right triangle with legs 8 and 6 and hypotenuse 10, what is costheta\\cos\\theta where theta\\theta is the angle adjacent to the leg of length 8?

  • A

    43\frac{4}{3}

  • B

    35\frac{3}{5}

  • C

    34\frac{3}{4}

  • D

    45\frac{4}{5}

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Explanation

costheta=fractextadjacenttexthypotenuse=frac810=frac45\\cos\\theta = \\frac{\\text{adjacent}}{\\text{hypotenuse}} = \\frac{8}{10} = \\frac{4}{5}.

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