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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 Cosine rule,

[tex] {a}^{2} = {b}^{2} + {c}^{2} - 2bc \: CosA[/tex]

In the diagram, U = A, therefore;

[tex]CosA \: = \frac{ {b}^{2} + {c}^{2} - {a}^{2} }{2bc} [/tex]

[tex]Cos \: U \: = \frac{ {{11}^{2} + {8}^{2} - {14}^{2} } }{2 \times 11 \times 18} [/tex]

[tex] = \frac{121 + 64 - 196}{176} [/tex]

[tex] = \frac{-11}{176} = -0.0625

U = arc cos (-0.0625)

U = 93. 5833°

U = 93.6°