Find Y.
Round to the nearest tenth.
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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 )