Answer:
∠ A ≈ 53.1° , ∠ B ≈ 36.9°
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle
sin A = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{40}{50}[/tex] = [tex]\frac{4}{5}[/tex] , then
∠ A = [tex]sin^{-1}[/tex] ( [tex]\frac{4}{5}[/tex] ) ≈ 53.1° ( to 1 decimal place )
and
cos B = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{40}{50}[/tex] = [tex]\frac{4}{5}[/tex] , then
∠ B = [tex]cos^{-1}[/tex] ( [tex]\frac{4}{5}[/tex] ) ≈ 36.9° ( to 1 decimal place )
