Question

Find the measure of each indicated angle to the nearest degree. a.)30 b.)56 C.)50 d.)34

Answer 1

Step 1

Name the sides of the triangle.

Hypotenuse = 6, the side facing right angle

Opposite = ? side facing given angle

Adjacent = 5

Step 2

Apply the cosine angle formula to find the indicated angle.

`\begin{gathered} Cos\theta\text{ = }\frac{adjacent}{\text{Hypotenuse}} \\ \cos \theta\text{ = }(5)/(6) \\ \cos \theta\text{ = 0.8333333333333333333333} \\ \theta\text{ = }\cos ^(-1)0.8333333333333333 \\ \theta=\text{ }33.55 \\ \theta=\text{ 34} \end{gathered}`

The measure of the indicated angle = 34