Trigonometryhard · Past Paper
Angle of elevation of top of a tower from point A is 30°. From point B, 20 m closer, it is 60°. Find tower height.
A10√3 m
B20√3 m
C15 m
D10 m
✓ Correct Answer: A — 10√3 m
h/tan 60 = x, h/tan 30 = x + 20. h/√3 + 20 = h√3 => 20 = 2h/√3 => h = 10√3.
Share this question
More from Trigonometry
- A 10 m long wire is attached to a pole. If the wire makes 60° with the ground, find the pole's height.
- If a cos θ - b sin θ = c, then a sin θ + b cos θ is:
- Evaluate: sin^2 5 + sin^2 10 + ... + sin^2 90.
- From a lighthouse 100 m high, the angles of depression of two ships are 30° and 60°. If ships are on opposite sides, find distance between them.
- If A + B + C = 180°, find value of cot B cot C + cot C cot A + cot A cot B.