Question

Will you show the work?

Answer 1

`\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=\cos(C)\implies \cos^(-1)\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] ~\dotfill\\\\ \cos^(-1)\left(\cfrac{30^2+24^2-13^2}{2(30)(24)}\right)=\measuredangle A \implies \cos^(-1)\left(\cfrac{ 1307 }{ 1440 }\right)=\measuredangle A \\\\\\ \cos^(-1)(0.9076389) \approx \measuredangle A \implies 24.8189^o \approx \measuredangle A`

Make sure your calculator is in Degree mode.