Question

fill in the blank. express your answer as a simplified ratio or whole number. use the \∕\ key for a ratio.sin(v) = □

Explanation:

Step1: Recall sine definition

For an acute angle in a right triangle, $\sin(\theta) = \frac{\text{opposite side}}{\text{hypotenuse}}$

Step2: Identify sides for $\angle V$

Opposite side to $\angle V$ is $WU = 5$, hypotenuse is $VU = 13$

Step3: Substitute values into formula

$\sin(V) = \frac{5}{13}$

Answer:

$\frac{5}{13}$