4024/23 May/Jun 2026, Question 21: Angle Between a Line and a Plane
Cambridge O Level Mathematics 4024 · Paper 23 (Calculator) · Calculator · 4 marks
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The question, in short
Using the cuboid with CG = 13 cm, GH = 18 cm and EH = 20 cm, work out the angle that the line EC makes with the face ABFE.
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Solution · 4 marks
- 1The required angle is angle CEB (CB is perpendicular to face ABFE)
- 2BE = √(13² + 18²) = √493 = 22.20…
- 3tan CEB = 20 ÷ 22.20…
- 4Angle CEB = 42.0°
Answer42.0 or 42.01 to 42.02
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