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Answered

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dashataran

Answer:

[tex]m\angle S=53.315^\circ[/tex]

Step-by-step explanation:

Given:

s = 11

t = 9

u = 12

Using the laws of cosines,

s² = t² + u² - 2tucosS

or,  11² = 9² + 12² - 2(9)(11)cosS

or,  -104 = -198cosS

[tex]\text{or, }\cos S = \dfrac{104}{198}=\dfrac{52}{99}\\\\\\\text{or, }S=\cos^{-1}\bigg(\dfrac{52}{99}\bigg)\\[/tex]

or,  S = 58.315°

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