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16 July, 13:44

Find the length of the two missing sides of a right triangle given that one angle is 83.5 ° and the length of the side adjacent to the angle is 13.7 centimeters.

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  1. 16 July, 16:27
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    opposite side: 120.24 cm

    hypotenuse: 121.02 cm

    Step-by-step explanation:

    The mnemoic SOH CAH TOA is useful here. It tells you ...

    ... Tan = Opposite/Adjacent

    so

    ... Opposite = Adjacent*Tan = (13.7 cm) * tan (83.5°) ≈ 120.24 cm

    It also tells you ...

    ... Cos = Adjacent/Hypotenuse

    so

    ... Hypotenuse = Adjacent/Cos = (13.7 cm) / cos (83.5°) ≈ 121.02 cm
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