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6 marksApplying Trigonometric Ratios

CSEC Mathematics · January 2010 · Paper 2 · Question 11(b)(ii)b)

K, L, and M are points along a straight line on a horizontal plane. A vertical pole, SK, is positioned such that the angles of elevation of the top of the pole S from L and M are 21° and 14° respectively. The height of the pole, SK, is 10 metres.

Calculate, correct to ONE decimal place, the length of LM.

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Other parts of this question

  1. 11(a)(i)Show that angle PRQ = 126°.[2 marks]
  2. 11(a)(ii)Calculate the distance PQ, giving your answer to the nearest metre.[3 marks]
  3. 11(b)(i)Copy and complete the diagram to show the pole SK and the angles of elevation of S from L and M.[4 marks]
  4. 11(b)(ii)a)Calculate, correct to ONE decimal place, the length of KL.[6 marks]

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