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ABC is a triangular park with AB = AC = 100 metres. A vertical tower is situated at the mid-point of BC. If the angles of elevation of the top of the tower at A and B are cot –1 (3 2 ) and cosec –1 (2 2 ) respectively, then the height of the tower (in metres) is :

1. 3 3 100
2. 25
3. 20
4. 5 10

Correct answer: 20

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