Question

Pleas help quick. Please show all work.

Answer 1

m∠Q = 62.6°

Explanation:

We can find m∠Q in degrees (°) using one of the trigonometric ratios.

If we allow ∠Q to be our reference angle, we see that side s is the adjacent side and side r is the hypotenuse. Thus, we can use the cosine ratio, which is

`cos=adjacent/hypotenuse`

Thus, we have cos (Q) = 29 / 63

In order to find angle measures, you have to use inverse trig and inverse cos ratio is

`cos^-^1(adjacent/hypotenuse)=Q\\cos^-^1(29/63)=Q\\62.59240547=Q\\62.6=Q`