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?

Question

Bernard Ingram

Mathematics

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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Answers (1)

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Tony Guzman · Answer 1

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.