ECZ 2014 · O-Level Paper 1 — Trigonometry
A kite (K) being flown is such that its vertical height HK is 6 m and the angle between the vertical height and the string SK is 60°, as shown. Given that sin 60° = 0.866, cos 60° = 0.5 and tan 60° = 1.73, calculate the length of the string SK.
- A. 10.38 m
- B. 3 m
- C. 6.93 m
- D. 12 m
Verified working — step 1
In right-angled triangle SHK the 6 m height is adjacent to the 60° angle at K and SK is the hypotenuse: cos 60° = HKSK, so 0.5 = 6SKand SK = …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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