4MA1/2HR Jun 2025, Question 23: Trigonometry in 3D: Cuboids
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
In a triangular prism with rectangular base ABCD, M is the midpoint of AC, AC = 40 cm, angle CAE = 35°, angle ABF = 90°. Find angle CME to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Triangle ACE has a right angle at C (CE is vertical)
- 2CE = 40 × tan 35° = 28.00…
- 3CM = 40 ÷ 2 = 20
- 4tan(CME) = 28.00… ÷ 20
- 5angle CME = tan⁻¹(1.400…) = 54.47…
- 6= 54.5°
Answer54.5
Stuck on a step? Read the free lesson: Trigonometry in 3D: Cuboids
Practise more trigonometry in 3d: cuboids questions
Real 4MA1 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 trigonometry in 3d: cuboids
Also searched as: 4MA1 2HR June 2025 · 4MA1/2HR · 4ma1 jun25 2hr · question 23.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.