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What is the exact value of the sin R?

What is the exact value of the sin R?-example-1

1 Answer

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Answer:

45/53

Explanation:

tan(U) = WV/UV = 28/45

We can consider WV = 28 and UV = 45 and compute UW using the Pythagorean theorem:

UW = √(UV² +WV²) = √(45² +28²) = 53

From the definition of the sine of an angle, we know ...

sin(W) = UV/UW = 45/53

Because the triangles are similar, ...

... sin(R) = sin(W) = 45/53

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