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Klio2033 [76]
3 years ago
12

Find mZY. 42-/3 N Y O 84 Х mZY = Submit Please help

Mathematics
1 answer:
Murljashka [212]3 years ago
3 0

Answer:

m\angle Y=30^{\circ}

Step-by-step explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

\cos Y=\frac{42\sqrt{3}}{84},\\Y=\arccos(\frac{42\sqrt{3}}{84})=\boxed{30^{\circ}}

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