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2 marksTrigonometric Ratios (Acute Angles)

CSEC Mathematics · May/June 2010 · Paper 2 · Question 10(b)(i)

The diagram below, not drawn to scale, shows a vertical flagpole, FT, with its foot, F, on the horizontal plane EFG. ET and GT are wires which support the flagpole in its position. The angle of elevation of T from G is 55°, EF = 8 m, FG = 6 m and ∠EFG = 120°.

Calculate, giving your answer correct to 3 significant figures, the height, FT, of the flagpole

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Other parts of this question

  1. 10(a)(i)Calculate, giving a reason for EACH step of your answer, ∠PTR[2 marks]
  2. 10(a)(ii)Calculate, giving a reason for EACH step of your answer, ∠TPR[3 marks]
  3. 10(a)(iii)Calculate, giving a reason for EACH step of your answer, ∠TSR.[2 marks]
  4. 10(b)(ii)Calculate, giving your answer correct to 3 significant figures, the length of EG[3 marks]
  5. 10(b)(iii)Calculate, giving your answer correct to 3 significant figures, the angle of elevation of T from E.[3 marks]

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