Answer:
sin (M) = 1/11 * √34 or (√34) / 11
Explanation:
The sine ratio is sin (reference angle) = opposite / hypotenuse.
- In triangle NMO, the side opposite angle M is NO and it's √34 units long.
- MO is the hypotenuse and it's 11 units long
Plugging in M for the reference angle gives us:
sin (M) = (√34) / 11. Dividing by 11 is the same as multiplying by 1/11 so alternatively, you could write sin (M) = 1/11 * (√34)
The expression is already in simplest radical form as there are no perfect squares which divide evenly into 34.