0580/23 May/Jun 2024, Question 24: Trigonometry in 3D: Cuboids
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Calculate the angle between a prism's sloping edge AV and its rectangular base, given AB = 15 cm, BC = 5 cm, CV = 4 cm and a right angle at C.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1The angle between AV and the base is angle VAC (V is above C)
- 2AC = √(15² + 5²) = √250 = 15.81…
- 3tan VAC = 4/15.81…
- 4Angle = 14.19… ≈ 14.2°
Answer14.2 or 14.19 to 14.20
Stuck on a step? Read the free lesson: Trigonometry in 3D: Cuboids
Practise more trigonometry in 3d: cuboids 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 trigonometry in 3d: cuboids
Also searched as: 0580/23/M/J/24 · 0580_s24_qp_23 · 0580 s24 23 · question 24.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.