Trigonometry, SMB-061 Find the value of \(\theta\), correct to the nearest degree. (3 marks) Show Answers Only \(\theta=154^{\circ}\) Show Worked Solution \(\dfrac{\sin \theta}{21}\) \(= \dfrac{\sin 12^{\circ}}{10} \) \(\sin \theta\) \(= \dfrac{21 \times \sin 12^{\circ}}{10}\) \(\theta\) \(=\sin^{-1} (0.4366) \) \(=25.88…^{\circ} \) \(=26^{\circ}\ \text{(nearest degree)} \) \(\therefore\ \theta = 180-26=154^{\circ}\ \ \text{(angle is obtuse)}\)
