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Trigonometry, SMB-055

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

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\(x=9.9\ \text{cm}\)

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\(\text{Angle needed}\ = 180-(115+34) = 31^{\circ}\)

\(\dfrac{x}{\sin31^{\circ}}\) \(=\dfrac{17.5}{\sin 115^{\circ}}\)  
\(x\) \(=\dfrac{17.5 \times \sin 31^{\circ}}{\sin 115^{\circ}}\)  
  \(=9.94…\)  
  \(=9.9\ \text{cm (to 1 d.p.)}\)  

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

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