0580/22 Feb/Mar 2023, Question 22: Trigonometry in 3D: Cuboids
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks
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The question, in short
Using a triangular prism with base ABCD, PA = 4 cm, AB = 5 cm, BC = 7 cm and a right angle at A, find the angle between line PC and the base ABCD.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1The angle is PCA, with AC in the base
- 2AC = √(5² + 7²) = √74 = 8.602… cm
- 3tan PCA = 4/√74
- 4Angle PCA = 24.93… ≈ 24.9°
Answer24.9 or 24.93 to 24.94
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