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8 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · January 2004 · Paper 2 · Question 12(a)(ii)

In the diagram, DEF is a tangent to the circle ABCE, with centre O. Angle BEF is 38°. The diagram shows a circle with center O, points A, B, C, E on the circumference. DEF is tangent at E. Lines OB, OE, OC, OA, AB, BC, CE are drawn. Angle BEF is marked 38 degrees.

Calculate, giving reasons for your answers, the size of angle BCE.

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Other parts of this question

  1. 12(a)(i)Calculate, giving reasons for your answers, the size of angle BEO.[8 marks]
  2. 12(a)(iii)Calculate, giving reasons for your answers, the size of angle BAE.[8 marks]
  3. 12(a)(iv)Calculate, giving reasons for your answers, the size of angle BOE.[8 marks]
  4. 12(b)(i)Using triangle MNT, show that the length of MT to the nearest metre, is 26 m.[7 marks]
  5. 12(b)(ii)Hence, calculate the height of the tower, TL.[7 marks]

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