4MA1/2F Jun 2022, Question 22: Choosing the Right Trigonometric Ratio
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 3 marks
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The question, in short
In right-angled triangle PQR with right angle at Q, angle QPR = 42° and PR = 9.5 cm, find x, the length PQ, to one decimal place.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1The side x is adjacent to the 42° angle and 9.5 cm is the hypotenuse
- 2cos 42° = x ÷ 9.5
- 3x = 9.5 × cos 42°
- 4x = 9.5 × 0.7431... = 7.0598...
- 5x = 7.1 (1 decimal place)
Answer7.1
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