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pls help me i don’t get this

Pls Help Me I Dont Get This class=

Sagot :

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 )

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