4400 Higher November 2005 Paper 4 Q5
5 The diagram shows two towns, \(A\) and \(B\).

(a) Measure the bearing of \(B\) from \(A\). (2)
(b) A plane flies along the perpendicular bisector of the line \(AB\).
Use ruler and compasses to construct the perpendicular bisector of \(AB\).
Show all your construction lines. (2)
Use ruler and compasses to construct the perpendicular bisector of \(AB\).
Show all your construction lines. (2)
(c) The bearing of another town, \(C\), from \(A\) is \(120^\circ\).
Work out the bearing of \(A\) from \(C\). (1)
Work out the bearing of \(A\) from \(C\). (1)
| Scheme | Marks |
|---|---|
| 220 ± 2 | B2 |
| (2) |
Notes
B2: B1 for 180 < angle < 270
| Scheme | Marks |
|---|---|
| four construction arcs seen | B1 |
| line, length > 4 cm | B1 |
| (2) |
Notes
B1: ± 2 mm of correct
| Scheme | Marks |
|---|---|
| 300 | B1 |
| (1) | |
| (5 marks) |