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Applying Trigonometric Ratios · CSEC Mathematics

27 past-paper questions on Applying Trigonometric Ratios, part of GEOMETRY AND TRIGONOMETRY, from every CSEC Mathematics paper on Quelpr.

  1. 12(a)(i)2 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Calculate, correct to three significant figures, the height of the pole, CP.
  2. 12(a)(iii)2 marks· CSEC Mathematics · 2003 (Specimen) · Paper 2Calculate, correct to three significant figures, the angle of elevation of P from A.
  3. Q571 mark · multiple choice· CSEC Mathematics · January 2013 · Paper 1The diagram, not drawn to scale, shows the angle of depression of a point X from Z is 30^\circ. If X is 10 metres from Y, the height of YZ, in metres, is
  4. Q591 mark · multiple choice· CSEC Mathematics · May/June 2011 · Paper 1The height of the building is approximately
  5. Q601 mark · multiple choice· CSEC Mathematics · May/June 2012 · Paper 1Item 60 refers to the diagram of a building below. A boy stands 12\text{ metres} from the foot of the building and observes the angle of elevation of the top of the building. The height of the building is…
  6. Q601 mark · multiple choice· CSEC Mathematics · May/June 2015 · Paper 1Item 60 refers to the diagram of a building below. A surveyor sets up his instruments 12\text{ metres} from the foot of a building, and records the angle of elevation of the top of the building. An estimate of the…
  7. 5(b)(i)1 mark· Mathematics Q5 5(b)(i)Determine the angle of elevation of T from P
  8. 5(b)(iii)3 marks· Mathematics Q5 5(b)(iii)Determine the angle of elevation of T from Q.
  9. 5(c)4 marks· Mathematics Q5 5(c)Calculate, to the NEAREST degree, the angle of elevation of the sun.
  10. 6(a)(ii)a)5 marks· Mathematics Q6 6(a)(ii)a)Calculate to one decimal place the length of HJ.
  11. 6(a)(ii)b)5 marks· Mathematics Q6 6(a)(ii)b)Calculate to one decimal place the length of JK.
  12. 9(b)(ii)a)3 marks· Mathematics Q9 9(b)(ii)a)Determine, to the nearest metre, the distance, TS₂, between the top of the lighthouse and Ship 2.
  13. 9(b)(ii)b)2 marks· Mathematics Q9 9(b)(ii)b)Determine, to the nearest metre, the height of the lighthouse, TB.
  14. 10(a)(ii)4 marks· Mathematics Q10 10(a)(ii)Calculate the length of the flagpole, giving your answer to the nearest metre.
  15. 10(b)(ii)2 marks· Mathematics Q10 10(b)(ii)Show, by calculation, that RF = 49.1 m.
  16. 10(b)(ii)a)2 marks· Mathematics Q10 10(b)(ii)a)Calculate, giving your answer to 2 significant figures, the measure of PL.
  17. 10(b)(ii)b)2 marks· Mathematics Q10 10(b)(ii)b)Calculate the height, TA, of the lighthouse.
  18. 10(b)(ii)c)3 marks· Mathematics Q10 10(b)(ii)c)Calculate, giving your answer to 2 significant figures, the angle of elevation of P from M.
  19. 10(b)(iii)3 marks· Mathematics Q10 10(b)(iii)Calculate, giving your answer to 1 decimal place where appropriate, the height of the tower, FT.
  20. 10(b)(iv)2 marks· Mathematics Q10 10(b)(iv)Calculate the angle of elevation of the top of the tower, T, from S.
  21. 11(a)(i)7 marks· Mathematics Q11 11(a)(i)Calculate the angle of elevation of U from S.
  22. 11(a)(ii)1 mark· Mathematics Q11 11(a)(ii)Calculate the length of the antenna TW.
  23. 11(b)(ii)a)6 marks· Mathematics Q11 11(b)(ii)a)Calculate, correct to ONE decimal place, the length of KL.
  24. 11(b)(ii)b)6 marks· Mathematics Q11 11(b)(ii)b)Calculate, correct to ONE decimal place, the length of LM.
  25. 12(a)(i)2 marks· Mathematics Q12 12(a)(i)Calculate, to one decimal place, the horizontal distance AB.
  26. 12(a)(ii)4 marks· Mathematics Q12 12(a)(ii)Calculate, to one decimal place, the height of the tower, BC.
  27. 12(b)(ii)7 marks· Mathematics Q12 12(b)(ii)Hence, calculate the height of the tower, TL.