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3 November, 19:11

If cos f° = four ninths and the measure of segment XW is 16 units, what is the measure of segment XY?

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  1. 3 November, 22:34
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    D. 36 units

    Step-by-step explanation:

    The description of the triangle is:

    triangle XYW in which angle W is a right angle, angle X measure f degrees, and angle Y measures d degrees

    Therefore, side XY is adjacent to f and side XY is the hypotenuse

    From definition:

    cos (f) = adjacent/hypotenuse

    Replacing:

    cos (f) = XW/XY

    4/9 = 16/XY

    XY = 16*9/4

    XY = 36 units
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