0580/21 Oct/Nov 2023, Question 21: Angle Between a Line and a Plane
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 4 marks
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The question, in short
Using a cuboid with AB = 15.1 cm, BC = 4.5 cm and CG = 9.2 cm, work out the angle between diagonal BH and face ADHE.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1The angle is BHA (BA is perpendicular to face ADHE)
- 2AH² = 4.5² + 9.2² = 104.89, AH = 10.24…
- 3tan BHA = 15.1/10.24… = 1.474…
- 4Angle BHA = 55.85… ≈ 55.9°
Answer55.9 or 55.85…
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