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3 marksBearings Problems

CSEC Mathematics · January 2011 · Paper 2 · Question 10(b)(i)a)

J, K and L are three sea ports. A ship journeyed from J to K, then to L, and returned to J. The bearing of K from J is 054° and L is due east of K. JK = 122 km and KL = 60 km.

Draw a clearly labelled diagram to represent the above information. Show on the diagram the north/south direction.

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Other parts of this question

  1. 10(a)(i)Calculate, giving reasons for EACH step of your answer, the measure of ∠OGF.[2 marks]
  2. 10(a)(ii)Calculate, giving reasons for EACH step of your answer, the measure of ∠DEF.[3 marks]
  3. 10(b)(i)b)Draw a clearly labelled diagram to represent the above information. Show on the diagram the bearing 054°.[1 mark]
  4. 10(b)(i)c)Draw a clearly labelled diagram to represent the above information. Show on the diagram the distances 122 km and 60 km.[1 mark]
  5. 10(b)(ii)a)Calculate the measure of angle JKL.[7 marks]
  6. 10(b)(ii)b)Calculate the distance JL.[1 mark]
  7. 10(b)(ii)c)Calculate the bearing of J from L.[1 mark]

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