Given:
Given that STU is a right triangle.
The measure of ∠U is 90°
The length of TS is 73, SU = 55, and UT = 48.
We need to determine the ratio of sine of ∠S.
Ratio of sin of ∠S:
The ratio of sin of ∠S can be determined using the trigonometric ratio.
Thus, we have;
[tex]sin \ \theta=\frac{opp}{hyp}[/tex]
where the side UT is opposite to the angle S and ST is the hypotenuse.
Substituting the values, we have;
[tex]sin \ S=\frac{UT}{ST}[/tex]
Substituting the lengths of the sides, we get;
[tex]sin \ S=\frac{48}{73}[/tex]
Thus, the ratio of sin of ∠S is [tex]sin \ S=\frac{48}{73}[/tex]
