A tower stands at the centre of a circular park. … and … are two points on the boundary of the park such that … subtends an angle of … at the foot of the tower, and the angle of elevation of the top of the tower from … or … is …. The height of the tower is :

Height and Distance

JEE Main 2007 · Annual, Paper 1 · Q3900

MathematicsMedium38×since 2004Q3900

A tower stands at the centre of a circular park.

A

and

B

are two points on the boundary of the park such that

AB(=a)

subtends an angle of

{60^ \circ }

at the foot of the tower, and the angle of elevation of the top of the tower from

A

B

{30^ \circ }

. The height of the tower is :