4MA1/2H Jun 2019, Question 21: Angle Between a Line and a Plane
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
A cuboid has edge ratios AB:BC:CF = 4:2:3. Work out the angle that line AF makes with the base plane ABCD, giving the result to one decimal place.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Let AB = 4, BC = 2, CF = 3
- 2AC² = 4² + 2² = 20, so AC = √20
- 3The angle is CAF: tan CAF = CF/AC = 3/√20
- 4CAF = tan⁻¹(3/√20) = 33.85… = 33.9
Answer33.9
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