Question

32° 7 Solve for c. CO 8 C C = [?] Round your your final answer to the nearest tenth. Law of Cosines: c² = a² + b² - 2ab-cosC​

Answer 1

`\textit{Law of Cosines}\\\\ c^2 = a^2+b^2-(2ab)\cos(C)\implies c = √(a^2+b^2-(2ab)\cos(C)) \\\\[-0.35em] ~\dotfill\\\\ c = √(7^2+8^2~-~2(7)(8)\cos(32^o)) \implies c = √( 113 - 112 \cos(32^o) ) \\\\\\ c \approx √( 113 - (94.9814) ) \implies c \approx √( 18.0186 ) \implies c \approx 4.2`

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