Answer:
θ ≈ 48.2°
Explanation:
The trig function that relates the angle, adjacent side, and hypotenuse is ...
Cos = Adjacent/Hypotenuse
This tells you ...
cos(θ) = 6/9
The angle is found from the cosine value using the inverse cosine function.
θ = arccos(6/9) ≈ 48.2°
Angle A is about 48.2°.