what is M to the nearest degree? show your workwhat is O to the nearest degree?

To get the value of m ad o
We can make use of the trigonometric ratio identities
sine = opposite/ hypotenuse
cosine = adjacent/ hypotenuse
tangent = opposite/ adjacent
Considering m
opposite = 5
hypotenuse = 11
so we can use the sine ratio
[tex]\begin{gathered} \sin \text{ m = }\frac{5}{11} \\ \sin \text{ m = 0.4545} \\ \\ m\text{ = }\sin ^{-1}0.4545 \\ \\ m\text{ = 27.03} \\ \\ m\text{ = 27 to the nearest degr}ee \end{gathered}[/tex]To get the measure of angle O
considering mAdjacent = 5
Hypotenuse = 11
so we can use the cosine ratio
[tex]\begin{gathered} \cos \text{ O =}\frac{5}{11} \\ \cos \text{ O = 0.4545} \\ O\text{ =}\cos ^{-1}0.4545 \\ \\ O\text{ = 62.964} \\ \\ O\text{ = 63 to the nearest degre}e \end{gathered}[/tex]