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3 marksApplying Trigonometric Ratios

CSEC Mathematics · Question 9(b)(ii)a)

A person at the top of a lighthouse, TB, sees two ships, S₁ and S₂, approaching the coast. The angles of depression are 12° and 20° respectively. The ships are 110 m apart.

Determine, to the nearest metre, the distance, TS₂, between the top of the lighthouse and Ship 2.

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Other parts of this question

  1. 9(a)(i)Determine the value of Angle PTR. Show detailed working where necessary and give a reason to support your answer.[2 marks]
  2. 9(a)(ii)Determine the value of Angle TPQ. Show detailed working where necessary and give a reason to support your answer.[2 marks]
  3. 9(a)(iii)Determine the value of Obtuse angle POR where O is the centre of the circle. Show detailed working where necessary and give a reason to support your answer.[2 marks]
  4. 9(b)(i)Complete the diagram below by inserting the angles of depression and the distance between the ships.[1 mark]
  5. 9(b)(ii)b)Determine, to the nearest metre, the height of the lighthouse, TB.[2 marks]

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