given right triangle rst, what is the value of sin(s)?\n$\frac{5}{13}$\n$\frac{5}{12}$\n$\frac{12}{13}$\n$\fr…
given right triangle rst, what is the value of sin(s)?\n$\frac{5}{13}$\n$\frac{5}{12}$\n$\frac{12}{13}$\n$\frac{13}{12}$
Answer
Explanation:
Step1: Recall sine definition for angle
For an acute angle in a right triangle, $\sin(\theta)=\frac{\text{opposite side}}{\text{hypotenuse}}$
Step2: Identify sides for $\angle S$
Opposite side to $\angle S$ is $RT=5$, hypotenuse is $ST=13$
Step3: Calculate $\sin(S)$
$\sin(S)=\frac{5}{13}$
Answer:
$\frac{5}{13}$ (corresponding to the first option: $\boldsymbol{\frac{5}{13}}$)