Verified Answer :

olumideolawoyin

Answer:

U = 93.6°

Step-by-step explanation

Using Cosine rule,

\({a}^{2} = {b}^{2} + {c}^{2} - 2bc \: CosA\)

In the diagram, U = A, therefore;

\(CosA \: = \frac{ {b}^{2} + {c}^{2} - {a}^{2} }{2bc}\)

\(Cos \: U \: = \frac{ {{11}^{2} + {8}^{2} - {14}^{2} } }{2 \times 11 \times 18}\)

\(= \frac{121 + 64 - 196}{176}\)

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

U = arc cos (-0.0625)

U = 93. 5833°

U = 93.6°

BrotherGoku

Answer:

93.58*

Step-by-step explanation:

In a question where you are only given the side lengths and no angles, you use the cosine law: c = sqrt(a^2 + b^2 -2ab cosy)

y = angle that you are trying to find (U)

c = side opposite to the angle (14)

a = standing side (11)

b = adjacent (8)

Essentially, you plug in these values in the equation by factoring cos y, solve for y by inverse cos, and you'll get your answer. Here's a written answer for a step by step explanation.

View image BrotherGoku