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3 marksSine and Cosine Rules

CSEC Mathematics · May/June 2015 · Paper 2 · Question 10(b)(iii)

The diagram below, not drawn to scale, shows the relative positions of three fishing boats, K, L and M. L is on a bearing of 040° from K and M is due south of L. LM = 120 km and KL = 80 km.

Calculate the length, to the nearest kilometre, of KM.

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Other parts of this question

  1. 10(a)(i)Label the diagram to show • the distance 60 m • the angles of 35° and 42° • any right angle(s).[3 marks]
  2. 10(a)(ii)Calculate the length of the flagpole, giving your answer to the nearest metre.[4 marks]
  3. 10(b)(i)On the diagram show the bearing of 040°.[1 mark]
  4. 10(b)(ii)Calculate the measure of ∠KLM.[1 mark]
  5. 10(b)(iv)Calculate the measure of ∠LKM to the nearest degree.[2 marks]
  6. 10(b)(v)Calculate the bearing of M from K.[1 mark]

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