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3 marksRelating Physical World to Geometric Objects

CSEC Mathematics · May/June 2013 · Paper 2 · Question 10(b)(i)

The diagram shows three points R, S and F on horizontal ground. FT is a vertical tower of height 25 m. The angle of elevation of the top of the tower, T, from R is 27°. R is due east of F and S is due south of F. SF = 43.3 m.

Sketch separate diagrams of the triangles RFT, TFS and SFR. Mark on EACH diagram the given measures of sides and angles.

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Other parts of this question

  1. 10(a)(i)Calculate, giving reasons for your answer, the measure of <EBF.[1 mark]
  2. 10(a)(ii)Calculate, giving reasons for your answer, the measure of <BOA.[2 marks]
  3. 10(a)(iii)Calculate, giving reasons for your answer, the measure of <AFB.[2 marks]
  4. 10(a)(iv)Calculate, giving reasons for your answer, the measure of <OAF.[2 marks]
  5. 10(b)(ii)Show, by calculation, that RF = 49.1 m.[2 marks]
  6. 10(b)(iii)Calculate the length of SR correct to 1 decimal place.[1 mark]
  7. 10(b)(iv)Calculate the angle of elevation of the top of the tower, T, from S.[2 marks]

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