Problem

A balloon is observed simultaneously from three points

A

B

and

C

on a straight road directly under it. The angular elevation at

B

is twice and at

C

is thrice that of

A

. If the distance between

A

and

B

is 200 m and the distance between

B

and

C

is 100 m, then the height of balloon is given by a. 50 m b.

50\sqrt{3}

m c.

50\sqrt{2}

m d. None of these