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1 markApplying Trigonometric Ratios

CSEC Mathematics · May/June 2006 · Paper 2 · Question 11(a)(ii)

The diagram below, not drawn to scale, shows a vertical tower, FT, and a vertical antenna, TW, mounted on the top of the tower. A point P is on the same horizontal ground as F, such that PF = 28 m, and the angles of elevation of T and W from P are 40° and 54° respectively.

Calculate the length of the antenna TW.

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Other parts of this question

  1. 11(a)(i)a)Copy and label the diagram clearly showing the distance 28 m[7 marks]
  2. 11(a)(i)b)Copy and label the diagram clearly showing the angles of 40° and 54°[1 mark]
  3. 11(a)(i)c)Copy and label the diagram clearly showing any right angles.[1 mark]
  4. 11(b)(i)Calculate, giving reasons for each step of your answer, ∠OCE[8 marks]
  5. 11(b)(ii)Calculate, giving reasons for each step of your answer, ∠BAC[1 mark]
  6. 11(b)(iii)Calculate, giving reasons for each step of your answer, ∠BOC[1 mark]
  7. 11(b)(iv)Calculate, giving reasons for each step of your answer, ∠BDC.[1 mark]

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