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Trigonometry, SMB-064

Find the value of \(d\), correct to 2 decimal places.   (3 marks)

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\(d=12.9\ \text{km}\)

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\(a^2\) \(=b^2+c^2-2bc\ \cos A \)  
\(d^2\) \(= 8.9^2+5.2^2-2 \times 8.9 \times 5.2 \times \cos 130^{\circ}\)  
  \(= 165.746…\)  
\(\therefore d\) \(=12.87…\)  
  \(=12.9\ \text{km (1 d.p.)} \)  

Filed Under: Non Right-Angled Trig Tagged With: num-title-ct-pathc, smc-4553-10-Cosine Rule

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