Question

Please answer the screenshot question

Answer 1

`m\angle C\approx42.774^\circ`

Explanation:

Use the Law of Sines

`\displaystyle (\sin A)/(a)=(\sin B)/(b)=(\sin C)/(c)\\ \\ (\sin47^\circ)/(28)=(\sin C)/(26)\\ \\ 26\sin47^\circ=28\sin C\\ \\C = \sin^(-1)\biggr((26\sin47^\circ)/(28)\biggr)\\\\C\approx42.774^\circ`