0580/21 Oct/Nov 2024, Question 20: Choosing the Right Trigonometric Ratio
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 5 marks
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The question, in short
Using the diagram with PS = 18 cm, angle SPQ = 28°, TS = 4 cm and QR = 9 cm, calculate angle QTR.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1QS = 18 sin 28° = 8.450…
- 2QT = 8.450… − 4 = 4.450…
- 3tan QTR = 9 ÷ 4.450… = 2.022…
- 4Angle QTR = 63.68… ≈ 63.7°
Answer63.7 or 63.68 to 63.69
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Also searched as: 0580/21/O/N/24 · 0580_w24_qp_21 · 0580 w24 21 · question 20.
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