Question

question
express sin s as a fraction in simplest terms.

Explanation:

Step1: Recall sine - ratio definition

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. For $\angle S$, the opposite side to $\angle S$ is $UT$ and the hypotenuse is $US$.

Step2: Identify side lengths

We have $UT = 21$ and $US=35$.

Step3: Calculate $\sin S$

$\sin S=\frac{UT}{US}=\frac{21}{35}$.

Step4: Simplify the fraction

$\frac{21}{35}=\frac{21\div7}{35\div7}=\frac{3}{5}$.

Answer:

$\frac{3}{5}$