0580/43 May/Jun 2026, Question 7: Pythagoras' Theorem
Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 5 marks
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The question, in short
A building of height h m, a point 22 m from its base and a 25 m line from the top: find h by Pythagoras, then the angle of depression from the top.
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Part (a) · 3 marks
Use Pythagoras with 25 m and 22 m to find h.
- 1h² + 22² = 25²
- 2h² = 625 − 484 = 141
- 3h = √141 = 11.87…
- 4h = 11.9
Answer11.9 or 11.87…
Part (b) · 2 marks
Angle of depression of B seen from A.
- 1Angle of depression = angle ABX at B (alternate angles)
- 2cos B = 22/25
- 3B = cos⁻¹(0.88) = 28.4°
Answer28.3 or 28.4 or 28.34 to 28.42
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Also searched as: 0580/43/M/J/26 · 0580_s26_qp_43 · 0580 s26 43 · question 7.
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