<u>Given</u>:
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
<u>Ratio of sin of ∠W:</u>
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 