Answer:
∠ B ≈ 66.42°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{2}{5}[/tex] , then
∠ B = [tex]cos^{-1}[/tex] ( [tex]\frac{2}{5}[/tex] ) ≈ 66.42° ( to the nearest hundredth )