ECZ 2013 · O-Level Paper 1 — Trigonometry
In the diagram, ABC is a straight line, BC = 8 cm, BD = 10 cm and sin(ABD) = 35. Find the area of triangle BCD.

- A. 40 cm2
- B. 32 cm2
- C. 48 cm2
- D. 24 cm2
Verified working — step 1
ABC is a straight line, so angle DBC = 180 - angle ABD and sin(DBC) = sin(ABD) = 35. Area = (12) x BC x BD x sin(DBC) = (12) x 8 x 10 x 35= …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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