0580/21 Oct/Nov 2021, Question 21: Trigonometry in 3D: Cuboids
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Pyramid ABCDE has square base ABCD of side 5 cm and vertical height OE = 9 cm above base centre O. Find the angle between edge EC and the base ABCD.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1AC = √(5² + 5²) = √50 = 7.071…
- 2OC = 1/2 × √50 = 3.535…
- 3Angle ECO is the angle with the base: tan(ECO) = 9 ÷ 3.535…
- 4Angle = tan⁻¹(2.545…) = 68.55… ≈ 68.6°
Answer68.6 or 68.55 to 68.56
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: 0580/21/O/N/21 · 0580_w21_qp_21 · 0580 w21 21 · question 21.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.