0580/23 Oct/Nov 2023, Question 19: The Sine Rule
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 4 marks
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The question, in short
Triangle PQR has PQ = 18 cm, QR = 13.5 cm and angle RPQ = 42°. Calculate the obtuse angle PRQ.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1sin PRQ/18 = sin 42/13.5
- 2sin PRQ = 18 × sin 42 ÷ 13.5 = 0.8921…
- 3Acute angle = 63.14…°
- 4Obtuse angle PRQ = 180 − 63.14… = 116.85… ≈ 116.9°
Answer116.9 or 116.85…
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