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ABC is a triangular park with AB=AC=100 m .A clock tower is situated at the midpoint of BC. The angle of elevation `alpha " and " beta ` of the top of the tower at A and B, respectively ,are such that cot `alpha` =3.2 cosec `beta` = 2.6 Find the height of the tower .

A

`(100)/(3sqrt(3))`

B

25

C

20

D

`10sqrt(5)`

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The correct Answer is:
C
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