Respuesta :

Answer:

Y ≈ 59.0°

Step-by-step explanation:

Using the Cosine rule

cosY = [tex]\frac{x^2+z^2-y^2}{2xz}[/tex]

with x = 22, y = 20, z = 18

cosY = [tex]\frac{22^2+18^2-20^2}{2(22)(18)}[/tex]

        = [tex]\frac{484+324-400}{792}[/tex]

        = [tex]\frac{408}{792}[/tex] , then

Y = [tex]cos^{-1}[/tex] ( [tex]\frac{408}{792}[/tex] ) ≈ 59.0° ( to the nearest tenth )