Question

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

Answer 1

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

`\begin{gathered} \sin \text{ m = }(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}`

To get the measure of angle O

considering mAdjacent = 5

Hypotenuse = 11

so we can use the cosine ratio

`\begin{gathered} \cos \text{ O =}(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}`