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3 marksSine and Cosine Rules

CSEC Mathematics · May/June 2008 · Paper 2 · Question 12(b)(ii)

A ship leaves Port R, sails to Port S and then to Port T. The bearing of S from R is 112°. The bearing of T from S is 033°. The distance RT is 75 km and the distance RS is 56 km.

Calculate the size of angle RTS.

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Other parts of this question

  1. 12(a)(i)Draw a diagram showing the journey of the ship from R to S to T. Show on your diagram the North direction.[1 mark]
  2. 12(a)(ii)Draw a diagram showing the journey of the ship from R to S to T. Show on your diagram the bearings 112° and 033°.[2 marks]
  3. 12(a)(iii)Draw a diagram showing the journey of the ship from R to S to T. Show on your diagram the points R, S and T.[1 mark]
  4. 12(a)(iv)Draw a diagram showing the journey of the ship from R to S to T. Show on your diagram the distances 75 km and 56 km.[1 mark]
  5. 12(b)(i)Calculate the size of angle RST.[1 mark]
  6. 12(b)(iii)Calculate the bearing of R from T.[2 marks]
  7. 12(c)(i)Show on your diagram the journey from T to X.[1 mark]
  8. 12(c)(ii)Calculate the distance TX.[3 marks]

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