Question

Help math related pleaseee

Answer 1

`c^2 = a^2 + b^2 - 2ab \cos C \\ \\ 55^2 = 24^2 + 40^2 - 2(24)(40)\cos C \\ \\ \cos C=(55^2 - 24^2 - 40^2)/(-2(24)(40)) \\ \\ C=\cos^(-1) \left((55^2 - 24^2 - 40^2)/(-2(24)(40)) \right) \\ \\ \cos C=-(283)/(640) \\ \\ C=\boxed{\arccos \left(\-frac{283}{640} \right)}`

`C=\boxed{\arccos \left( - (283)/(640) \right)}`