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8 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · January 2005 · Paper 2 · Question 11(b)(i)

The diagram shows a circle, centre O. LMNR is a tangent to the circle. LSOP, NOQ and MSQ are straight lines. ∠SPN = 35°. Calculate, giving reasons for each step of your answer:

Calculate ∠SON.

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Other parts of this question

  1. 11(a)(i)Calculate the angle of elevation of U from S.[7 marks]
  2. 11(a)(ii)Calculate the length of UT.[7 marks]
  3. 11(a)(iii)Calculate the length of RU.[7 marks]
  4. 11(b)(ii)Calculate ∠NMQ.[8 marks]
  5. 11(b)(iii)Calculate ∠PLN.[8 marks]
  6. 11(b)(iv)Calculate ∠SNM.[8 marks]

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