Answer:
∠ B ≈ 62.73°
Step-by-step explanation:
Using the sine ratio in the right triangle.
sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{8}{9}[/tex] , thus
∠ B = [tex]sin^{-1}[/tex] ([tex]\frac{8}{9}[/tex] ) ≈ 62.73° ( to the nearest hundredth )
