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 \({\rm{co}}{{\rm{t}}^{ - 1}}\left( {3\sqrt 2 } \right){\rm{\;and\;cose}}{{\rm{c}}^{ - 1}}\left( {2\sqrt 2 } \right)\) respectively, then the height of the tower (in meters) is:

ABC is a triangular park with AB = AC = 100 metres. A vertical tower i

1.	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 \({\rm{co}}{{\rm{t}}^{ - 1}}\left( {3\sqrt 2 } \right){\rm{\;and\;cose}}{{\rm{c}}^{ - 1}}\left( {2\sqrt 2 } \right)\) respectively, then the height of the tower (in meters) is:
A.	\(\frac{{100}}{{3\sqrt 3 }}\)
B.	\(10\sqrt 5\)
C.	20
D.	25
Answer» D. 25