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2 marksApplying Trigonometric Ratios

CSEC Mathematics · 2003 (Specimen) · Paper 2 · Question 12(a)(iii)

Vertical pole CP standing at corner C of rectangular field ABCD. AB = 30\text{ m}, AD = 15\text{ m}, angle of elevation of P from D is 20^\circ.

Calculate, correct to three significant figures, the angle of elevation of P from A.

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Other parts of this question

  1. 12(a)(i)Calculate, correct to three significant figures, the height of the pole, CP.[2 marks]
  2. 12(a)(ii)Calculate, correct to three significant figures, the length of AC, the diagonal of the rectangle ABCD.[2 marks]
  3. 12(b)(i)Copy and complete the table of values for y = 1 + 2\sin x.[2 marks]
  4. 12(b)(ii)Draw the graph of y = 1 + 2\sin x for 0^\circ \le x \le 180^\circ.[4 marks]
  5. 12(b)(iii)Use your graph to find the approximate values of x for which 1 + 2\sin x = 2.3.[3 marks]

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