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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°
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.
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