JEE Advance - Mathematics (1989 - No. 24)
$$ABC$$ is a triangular park with $$AB=AC=100$$ $$m$$. A television tower stands at the midpoint of $$BC$$. The angles of elevetion of the top of the tower at $$A, B, C$$ are 45$$^ \circ $$, 60$$^ \circ $$, 60$$^ \circ $$, respectively. Find the height of the tower.
25 m
50 m
(50\sqrt{2}) m
(50\sqrt{3}) m
100 m