Quelpr
3 marksApplying Trigonometric Ratios

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

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 height of the tower, FT.

This question uses a figure or table from the paper — you'll see it when you practise.

The mark scheme is shown once you've answered.

Practise this question

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)(ii)Calculate, giving your answer to 1 decimal place where appropriate, the length of ST.[3 marks]

More practice: the rest of this paper · more Applying Trigonometric Ratios questions · all CSEC Mathematics past papers