Question

Find the value of x in the triangle shown below. X = 5.7 66° 7 7 20 Check

Answer 1

We have the following:

`\begin{gathered} (5.7)/(\sin x)=(7)/(\sin 66^(\circ\: )) \\ \sin x=(57\cdot\sin 66^(\circ))/(70) \\ \sin x=(57\cdot0.913)/(70) \\ x=\sin ^(-1)(0.743) \\ x=48.06\cong48^(\circ\: ) \end{gathered}`

Therefore, the answer is 48°