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General Mathematics Paper 2,Nov/Dec. 2007  
Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 Main
General Comments
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question 3

In the diagram,<PRA = 50°, |AB|= 67m, |BQ|= 28 m and |AP|= 48 m.  Find, correct to the nearest whole number:
(a) |RB|;
(b) < QPA.


_____________________________________________________________________________________________________
observation

Many candidates found this question very challenging.  Some of the candidates who attempted it did not correct their answers to the nearest whole number while others could not determine the angle QPA.  A good number of them assumed that
            <PRQ is 90°. To get |RBZ, they were to find |AR| which is  48   m then
                                                                                                                    tan 50
            subtract it from 67 m to get 27 m to the nearest whole number.

To get <QPA, draw a line from Q, parallel to AB to meet line |PA|at S. PS will then be 20.  Hence,

<QPA =  tan–1  67  = 73° to the nearest degree.
                            20

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