Question

given right triangle rst, what is the value of sin(s)?

Explanation:

Step1: Recall sine - function definition

The sine of an angle in a right - triangle is defined as $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify opposite and hypotenuse for angle S

For angle $S$ in right - triangle $RST$, the side opposite to angle $S$ is $RT = 5$ and the hypotenuse is $ST=13$.

Step3: Calculate $\sin(S)$

$\sin(S)=\frac{RT}{ST}=\frac{5}{13}$

Answer:

$\frac{5}{13}$