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.
[tex]\begin{gathered} Cos\theta\text{ = }\frac{adjacent}{\text{Hypotenuse}} \\ \cos \theta\text{ = }\frac{5}{6} \\ \cos \theta\text{ = 0.8333333333333333333333} \\ \theta\text{ = }\cos ^{-1}0.8333333333333333 \\ \theta=\text{ }33.55 \\ \theta=\text{ 34} \end{gathered}[/tex]
The measure of the indicated angle = 34
