Answer :

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°

gcantiga44

Answer:

∠B = 56.25

Step-by-step explanation:

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

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