Question

what is the sin (s)
28/45
45/28
45/53
28/53

Explanation:

Step1: Recall the sine formula

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify the opposite side and hypotenuse for angle \(S\)

For angle \(S\), the opposite side is \(TR = 90\), and the hypotenuse is \(SR=106\).
Simplify the fraction \(\frac{90}{106}\). Divide both the numerator and the denominator by 2: \(\frac{90\div2}{106\div2}=\frac{45}{53}\)

Answer:

\(\frac{45}{53}\) (corresponding to the option \(45/53\))