2 marksGeometric Problem Solving (Circles and Circle Theorems)

CSEC Mathematics · May/June 2013 · Paper 2 · Question 10(a)(iii)

The diagram shows a circle with centre O. EBC is a tangent to the circle. <OBA = 40° and <OBF = 35°.

Calculate, giving reasons for your answer, the measure of <AFB.

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Other parts of this question

10(a)(i)Calculate, giving reasons for your answer, the measure of <EBF.[1 mark]
10(a)(ii)Calculate, giving reasons for your answer, the measure of <BOA.[2 marks]
10(a)(iv)Calculate, giving reasons for your answer, the measure of <OAF.[2 marks]
10(b)(i)Sketch separate diagrams of the triangles RFT, TFS and SFR. Mark on EACH diagram the given measures of sides and angles.[3 marks]
10(b)(ii)Show, by calculation, that RF = 49.1 m.[2 marks]
10(b)(iii)Calculate the length of SR correct to 1 decimal place.[1 mark]
10(b)(iv)Calculate the angle of elevation of the top of the tower, T, from S.[2 marks]

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