Question

express sin w as a fraction in simplest terms.

Explanation:

Step1: Recall sine - ratio definition

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

Step2: Identify side lengths

We know that $xY = 24$ and $WY=26$.

Step3: Calculate $\sin W$

$\sin W=\frac{24}{26}=\frac{12}{13}$.

Answer:

$\frac{12}{13}$