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 [tex]sin \ \theta[/tex] is given by
[tex]sin \ \theta=\frac{opp}{hyp}[/tex]
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;
[tex]sin \ W=\frac{XV}{WV}[/tex]
Substituting the values, we get;
[tex]sin \ W=\frac{77}{85}[/tex]
Thus, the ratio of sine of ∠W is [tex]sin \ W=\frac{77}{85}[/tex]
