Answer:
∠B ≈ 56.25°
Step-by-step explanation:
Since the triangle is right use the cosine ratio to solve for B
cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{5}{9}[/tex], thus
B = [tex]cos^{-1}[/tex]([tex]\frac{5}{9}[/tex] ) ≈ 56.25°
∠B = 56.25
We would use cosine function here.
cos Θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
cos Θ = [tex]\frac{5}{9}[/tex]
cos⁻¹ ([tex]\frac{5}{9}[/tex]) = 56.25
