Question

22.Find the indicated angle measure to the nearest degree.38?/47A.39°B. 32С.36°D. 51

Answer 1

The given triangle is a right-angle triangle

In order to find the indicated angle, we apply the trigonometric ratio Cosine, because we are given the adjacent to be 38 units and hypotenuse to be 47 units.

Hence,

`\begin{gathered} \cos \theta=\frac{\text{ Adjacent}}{\text{Hypotenuse}} \\ \cos \theta=(38)/(47) \\ \cos \theta=0.8085 \\ \theta=\cos ^(-1)(0.8085) \\ \theta=36.05^0 \end{gathered}`

Therefore, the measure of the indicated angle to the nearest degree is 36⁰