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Trigonometry, SMB-058

Find the value of \(\theta\), correct to the nearest degree.   (2 marks)

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\(\theta=53^{\circ}\)

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\(\dfrac{\sin \theta}{6}\) \(= \dfrac{\sin 37^{\circ}}{4.5} \)  
\(\sin \theta\) \(= \dfrac{6 \times \sin 37^{\circ}}{4.5}\)  
\(\theta\) \(=\sin^{-1} (0.8024) \)  
  \(=53.361…^{\circ} \)  
  \(=53^{\circ}\ \text{(nearest degree)} \)  

Filed Under: Non Right-Angled Trig Tagged With: num-title-ct-pathc, smc-4553-20-Sine Rule

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