In ΔVWX, the measure of ∠X=90°, XW = 36, WV = 85, and VX = 77. What ratio represents the sine of ∠W?

Given:

In ΔVWX, the measure of ∠X=90°, XW = 36, WV = 85, and VX = 77.

We need to determine the ratio that represents the sine of ∠W

Ratio of sin of ∠W:

The ratio of sin of ∠W can be determined using the trigonometric ratios.

The ratio of is given by

From the attached figure, the opposite side of ∠W is XV and the hypotenuse of ∠W is WV.

Hence, substituting in the above ratio, we get;

Substituting the values, we get;

Thus, the ratio of sine of ∠W is

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