ECZ 2011 · O-Level Paper 1 — Trigonometry
The figure shows triangle ABC in which AC = 5 cm and angle A is a right angle. Given that sin B = 0.5, cos B = 0.9 and tan B = 0.6, calculate the length of BC.
- A. 10 cm
- B. 2.5 cm
- C. 5.6 cm
- D. 8.3 cm
Verified working — step 1
BC is the hypotenuse and AC is opposite angle B, so sin B = ACBC. Then 0.5 = 5BC, giving BC = 50.5= …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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