Question

find the exact value of sin u in simplest radical form.

Explanation:

Step1: Recall sine - definition

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. For $\angle U$, the side opposite to $\angle U$ is $w v=\sqrt{17}$ and the hypotenuse is $u w = 9$.

Step2: Write the sine value

$\sin U=\frac{\sqrt{17}}{9}$

Answer:

$\frac{\sqrt{17}}{9}$