Answer:
∠ A ≈ 53.1° , ∠ B ≈ 36.9°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{32}{24}[/tex] , then
∠ A = [tex]tan^{-1}[/tex] ( [tex]\frac{32}{24}[/tex] ) ≈ 53.1° ( to 1 decimal place )
and
tan B = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{24}{32}[/tex] , then
∠ B = [tex]tan^{-1}[/tex] ( [tex]\frac{24}{32}[/tex] ) ≈ 36.9° ( to 1 decimal place )
