Answer:
∠ B ≈ 56.3°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos B = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{5}{9}[/tex] , then
B = [tex]cos^{-1}[/tex] ([tex]\frac{5}{9}[/tex] ) ≈ 56.3° ( to the nearest tenth of a degree )
