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8 May, 14:11

In ΔWXY, the measure of ∠Y=90°, XW = 85, WY = 84, and YX = 13. What is the value of the cosine of ∠W to the nearest hundredth?

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  1. 8 May, 14:32
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    Answer: 0.99

    Step-by-step explanation:

    SOH CAH TOA

    CAH: cosine = adjacent/hypotenuse

    Cosine of angle w = 84/85 = 0.98823 ≈ 0.99

    Angle Y is 90 degrees, meaning it's a right triangle. Therefore angle W is the top/tip of a triangle, while X is the angle next to Y. If you plug in the information afterwards and follow the trigonometry rule (SOH CAH TOA) you will find your answer.
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Home » Mathematics » In ΔWXY, the measure of ∠Y=90°, XW = 85, WY = 84, and YX = 13. What is the value of the cosine of ∠W to the nearest hundredth?
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