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Trigonometry, SMB-054

Find the value of \(x\), correct to 1 decimal place.   (2 marks)

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\(x=7.2\ \text{cm}\)

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\(\text{Angle needed}\ = 180-(81+43) = 56^{\circ}\)

\(\dfrac{x}{\sin56^{\circ}}\) \(=\dfrac{8.6}{\sin 81^{\circ}}\)  
\(x\) \(=\dfrac{8.6 \times \sin 56^{\circ}}{\sin 81^{\circ}}\)  
  \(=7.218…\)  
  \(=7.2\ \text{cm (to 1 d.p.)}\)  

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

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