Trigonometry, SMB-059 Find the value of \(\theta\), correct to the nearest degree. (2 marks) Show Answers Only \(\theta=50^{\circ}\) Show Worked Solution \(\dfrac{\sin \theta}{7.5}\) \(= \dfrac{\sin 66^{\circ}}{8.9} \) \(\sin \theta\) \(= \dfrac{7.5 \times \sin 66^{\circ}}{8.9}\) \(\theta\) \(=\sin^{-1} (0.7698) \) \(=50.33…^{\circ} \) \(=50^{\circ}\ \text{(nearest degree)} \)