Question

In ΔSTU, the measure of ∠U=90°, TS = 73, SU = 55, and UT = 48. What ratio represents the sine of ∠S?

Answer 1

Step-by-step explanation:who ever commented the last answer is very ___. the correct answer is 33/65

Answer 2

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;

`sin \ \theta=(opp)/(hyp)`

where the side UT is opposite to the angle S and ST is the hypotenuse.

Substituting the values, we have;

`sin \ S=(UT)/(ST)`

Substituting the lengths of the sides, we get;

`sin \ S=(48)/(73)`

Thus, the ratio of sin of ∠S is
`sin \ S=(48)/(73)`