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CSEC Mathematics · January 2007 · Paper 2 · Question 12(a)

This question involves bearings and trigonometry. A boat leaves a dock at point A and travels for a distance of 15 km to point B on a bearing of 135°. The boat then changes course and travels for a distance of 8 km to point C on a bearing of 060°.

Illustrate the above information in a clearly labelled diagram.

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Other parts of this question

  1. 12(a)(i)The diagram should show the north direction.[1 mark]
  2. 12(a)(ii)The diagram should show bearings 135° and 060°.[2 marks]
  3. 12(a)(iii)The diagram should show distances 8 km and 15 km.[2 marks]
  4. 12(b)(i)Calculate the distance AC.[3 marks]
  5. 12(b)(ii)Calculate ∠BCA.[3 marks]
  6. 12(b)(iii)Calculate the bearing of A from C.[2 marks]

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