0580/23 Oct/Nov 2024, Question 22: Trigonometry in 3D: Cuboids
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 4 marks
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The question, in short
Using a cuboid with base sides 12 cm and 5 cm and height 4 cm, work out the angle that the space diagonal PB makes with the base ABCD.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1The angle required is angle PBD
- 2BD = √(12² + 5²) = √169 = 13 cm
- 3tan PBD = 4/13
- 4Angle PBD = tan⁻¹(4/13) = 17.10… ≈ 17.1°
Answer17.1 or 17.10...
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