4MA1/2HR Jun 2019, Question 12: Choosing the Right Trigonometric Ratio
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 5 marks
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The question, in short
Use right-angled triangle trigonometry with BD perpendicular to AC, angles 42° and 32°, and BC = 3.1 m to work out AB to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1sin 32 = BD / 3.1
- 2BD = 3.1 × sin 32 = 1.6427...
- 3cos 42 = BD / AB
- 4AB = BD / cos 42
- 5AB = 1.6427... / cos 42 = 2.21053...
- 62.21
Answer2.21
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