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13 May, 19:46

In this triangle, what is the value of x? Enter your answer, rounded to the nearest tenth, in the box.

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  1. 13 May, 21:20
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    The correct answer is 75.7°.

    The figure is described as a right triangle with a hypotenuse of 85, a base of x, and an angle at the top of 63°.

    We have the side opposite the angle, x, and the hypotenuse. Opposite/hypotenuse is the ratio for the sine function:

    sin 63° = x/85

    Multiply both sides by 85:

    85 (sin 63°) = x

    75.7 = x
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