ECZ 2011 · O-Level Paper 1 — Trigonometry

A vegetable garden is an irregular pentagon ABCDE with AB = BC = CD = AD, AE = 12 m, DE = 5 m and angles ABC, BCD and DEA all 90 degrees. Find AD.

Diagram for ECZ 2011 · O-Level Paper 1
  • A. 17 m
  • B. 7 m
  • C. 11 m
  • D. 13 m

Verified working — step 1

Triangle ADE is right-angled at E, so by Pythagoras AD2 = AE2 + DE2 = 144 + 25 = 169, giving AD = …

The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.

Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

Have a different question?

Search it — if it is from a past paper or a school mock, chances are we have it worked out, or one that uses the same method.

Search any past-paper question

More Trigonometry questions from past papers