0580/31 Oct/Nov 2025, Question 24: Choosing the Right Trigonometric Ratio
Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
In right-angled triangle ABC, the right angle is at A, AC = 32 cm and angle ABC = 27°. Calculate the length BC.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1AC is opposite angle B and BC is the hypotenuse
- 2sin 27° = 32/BC
- 3BC = 32 ÷ sin 27° = 70.48… ≈ 70.5 cm
Answer70.5 or 70.48 to 70.49
Stuck on a step? Read the free lesson: Choosing the Right Trigonometric Ratio
Practise more choosing the right trigonometric ratio questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on choosing the right trigonometric ratio
Also searched as: 0580/31/O/N/25 · 0580_w25_qp_31 · 0580 w25 31 · question 24.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.