0580/23 May/Jun 2022, Question 18: Back Bearings
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks
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The question, in short
Bearings of B from A and A from B are x° and y° with x : y = 2 : 7. Use the diagram and the relationship between the two bearings to calculate y.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Back bearing: y = x + 180, so y − x = 180
- 2x : y = 2 : 7, so the difference is 7 − 2 = 5 parts
- 31 part = 180 ÷ 5 = 36
- 4y = 7 × 36 = 252°
Answer252
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