ECZ 2022 · GCE Paper 1 — Trigonometry

In the diagram, ABC is a straight line. Angle BCD = 90° and tan AB̂D = −34. Calculate the length of BD.

Diagram for ECZ 2022 · GCE Paper 1
  • A. 3 units
  • B. 4 units
  • C. 5 units
  • D. 7 units

Verified working — step 1

A negative tangent cannot set side lengths - lengths are never negative. It only says angle ABD is OBTUSE; work with its acute supplement at B.

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.

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