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2 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · May/June 2010 · Paper 2 · Question 10(a)(i)

In the diagram below, not drawn to scale, PQ is a tangent to the circle PTSR, so that ∠RPQ = 46°, ∠RQP = 32° and TRQ is a straight line.

Calculate, giving a reason for EACH step of your answer, ∠PTR

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Other parts of this question

  1. 10(a)(ii)Calculate, giving a reason for EACH step of your answer, ∠TPR[3 marks]
  2. 10(a)(iii)Calculate, giving a reason for EACH step of your answer, ∠TSR.[2 marks]
  3. 10(b)(i)Calculate, giving your answer correct to 3 significant figures, the height, FT, of the flagpole[2 marks]
  4. 10(b)(ii)Calculate, giving your answer correct to 3 significant figures, the length of EG[3 marks]
  5. 10(b)(iii)Calculate, giving your answer correct to 3 significant figures, the angle of elevation of T from E.[3 marks]

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