Question

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

Explanation:

Step1: Recall the sine formula

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify the sides relative to $\angle W$

For $\angle W$, the opposite side is $VU = 24$, and the hypotenuse is $WU=26$.

Step3: Calculate $\sin(W)$

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

Answer:

$\frac{12}{13}$