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3 marksSine and Cosine Rules

CSEC Mathematics · May/June 2016 · Paper 2 · Question 10(b)(ii)

A diagram shows two ships, R and S, at anchor on a lake. FT is a vertical tower. FSR is a straight line and RS = 150 m. The angles of elevation of T, the top of the tower, from R and S, are 22° and 40° respectively. F is the foot of the tower.

Calculate, giving your answer to 1 decimal place where appropriate, the length of ST.

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Other parts of this question

  1. 10(a)(i)Calculate, giving reasons for your answer, the measure of ∠EHF.[2 marks]
  2. 10(a)(ii)Calculate, giving reasons for your answer, the measure of ∠FGH.[2 marks]
  3. 10(a)(iii)Calculate, giving reasons for your answer, the measure of ∠JHE.[2 marks]
  4. 10(a)(iv)Calculate, giving reasons for your answer, the measure of ∠JGH.[2 marks]
  5. 10(b)(i)Calculate, giving your answer to 1 decimal place where appropriate, the measure of ∠RTS.[1 mark]
  6. 10(b)(iii)Calculate, giving your answer to 1 decimal place where appropriate, the height of the tower, FT.[3 marks]

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