The scale drawing shows the positions of two towns, P and Q.
The scale is 1 cm represents 4 km.
(a) Find the actual distance between town P and town Q.
(b) Measure the bearing of town Q from town P.
(c) Town X is 28 km from town P on a bearing of 140°.
On the scale drawing, mark the position of town X.
▶️ Answer/Explanation
(a) 32.8 km (b) 065° (c) X marked 7 cm from P at 140°
(a) Measure PQ in cm (8.2 cm) and multiply by 4: 8.2 × 4 = 32.8 km
(b) Measure angle clockwise from north line to PQ: 065°
(c) 28 km = 7 cm on scale (28 ÷ 4). Draw point X 7 cm from P at 140° bearing.
The scale drawing shows the positions of town A and town B.
The scale is 1 cm represents 15 km.
(a) Find the actual distance between town A and town B.
(b) Measure the bearing of town B from town A.
▶️ Answer/Explanation
Ans:
(a) Measure the distance in cm (7.4 cm) and multiply by 15: 7.4 × 15 = 111 km.
(b) Using a protractor, measure the angle clockwise from north to the line AB: approximately 71°.