Answer:
∠ A ≈ 71.1° , ∠ B ≈ 18.9°
Step-by-step explanation:
Using the cosine and sine ratios in the right triangle
cos A = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{12}{37}[/tex] , then
∠ A = [tex]cos^{-1}[/tex] ( [tex]\frac{12}{37}[/tex] ) ≈ 71.1° ( to 1 decimal place )
and
sin B = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{37}[/tex] , then
∠ B = [tex]sin^{-1}[/tex] ( [tex]\frac{12}{37}[/tex] ) ≈ 18.9° ( to 1 decimal place )
