Find the measure of angle A. Round your answer to the nearest whole number

Answer:
∠ A ≈ 53°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{12}{9}[/tex] , then
∠ A = [tex]tan^{-1}[/tex] ([tex]\frac{12}{9}[/tex] ) ≈ 53° ( to the nearest whole number )