Question

express sin o as a fraction in simplest terms.

Explanation:

Step1: Recall sine - ratio formula

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. For angle $O$ in right - triangle $OMN$, the side opposite to angle $O$ is $MN$ and the hypotenuse is $OM$.

Step2: Identify the lengths

We are given that $MN = \sqrt{11}$ and $OM=6$.

Answer:

$\frac{\sqrt{11}}{6}$