0580/21 Oct/Nov 2023, Question 18: The Sine Rule
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
A triangle has sides 8.3 cm and 16.2 cm, with 105° between the 8.3 cm side and the unknown side; find the angle y opposite the 8.3 cm side.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1sin y/8.3 = sin 105/16.2
- 2sin y = 8.3 × sin 105 ÷ 16.2 = 0.4948…
- 3y = 29.66… ≈ 29.7
Answer29.7 or 29.66…
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