4MA1/1H Jan 2020, Question 19: Trigonometry in 3D: Cuboids
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 4 marks
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The question, in short
Using a cuboid with EH = 9 cm, HG = 5 cm and GB = 6 cm, calculate the angle that line AH makes with the base plane EFGH, giving the result to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1A is above F, so the angle is AHF with AF = GB = 6 cm
- 2FH = √(9² + 5²) = √106
- 3tan(AHF) = 6 / √106 = 0.5828…
- 4Angle = tan⁻¹(0.5828…) = 30.2°
Answer30.2
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