4MA1/2H Jun 2018, Question 19: Angle Between a Line and a Plane
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
Using the triangular prism with AF = 10 cm, AB = 24 cm and BC = 8 cm, find the angle between line BE and the plane ABCD, to 1 decimal place.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1E is directly above D, so the angle needed is angle DBE, with DE = 10 cm
- 2BD = √(24² + 8²) = √640 = 25.298… cm
- 3tan DBE = 10 ÷ 25.298… = 0.3952…
- 4Angle DBE = tan⁻¹(0.3952…) = 21.6
Answer21.6
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