Answer:
∠ U ≈ 93.6°
Step-by-step explanation:
using the Law of Cosines
• cos U = [tex]\frac{v^2+w^2-u^2}{2vw}[/tex]
u, v , w are the sides opposite ∠ U, ∠ V and ∠ W , respectively.
here u = 14 , v = 11 , w = 8
substitute these values into the formula for cos U
cos U = [tex]\frac{11^2+8^2-14^2}{2(11)(8)}[/tex]
= [tex]\frac{121+64-196}{176}[/tex]
= [tex]\frac{185-196}{176}[/tex]
= [tex]\frac{-11}{176}[/tex]
Then
∠ U = [tex]cos^{-1}[/tex] ( [tex]\frac{-11}{176}[/tex] ) ≈ 93.6° ( to the nearest tenth )
