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8 November, 21:07

Find the missing angle and side measures of abc, given that A=25, C=90, and CB=16

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  1. 8 November, 22:26
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    B = 65° AB = 37.859 AC = 34.312

    Step-by-step explanation:

    The given side is opposite the given acute angle in this right triangle, so the applicable relation is ...

    Sin (25°) = CB/AB

    Solving for AB, we get ...

    AB = CB/sin (25°) ≈ 37.859

    __

    The relation involving the other leg of the triangle is ...

    Tan (25°) = CB/AC

    Solving for AC, we get ...

    AC = CB/tan (25°) ≈ 34.312

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    Of course, the missing angle is the complement of angle A, so is 90-25 = 65 degrees.
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