0580/32 May/Jun 2025, Question 24: Choosing the Right Trigonometric Ratio
Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 5 marks
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The question, in short
Using two right-angled triangles sharing side BD, with AB = 14.7 m, AD = 10.8 m and angle BDC = 52°, calculate the value of d, where BC = d m.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1BD² + 10.8² = 14.7²
- 2BD = √(14.7² − 10.8²) = √99.45 = 9.972…
- 3tan 52° = d/BD
- 4d = 9.972… × tan 52°
- 5d = 12.76… ≈ 12.8
Answer12.8 or 12.76…
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