Question

find the sine of ∠s. simplify your answer and write it as a proper fraction, improper fraction, or whole number. sin(s) =

Explanation:

Step1: Recall sine definition

In a right triangle, $\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$. For $\angle S$, identify opposite and hypotenuse.
Opposite side to $\angle S$ is $RQ = 48$, hypotenuse is $RS = 52$.

Step2: Apply sine formula

$\sin(S) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{48}{52}$

Step3: Simplify the fraction

Divide numerator and denominator by 4: $\frac{48\div4}{52\div4} = \frac{12}{13}$

Answer:

$\frac{12}{13}$