A balloon is moving up in air vertically above a point \(A\) on the ground. When it is at a height \(h_1\), a girl standing at a distance \(d\) (point \(B\)) from \(A\) (See figure) sees it at an angle \(45^\circ\) with respect to the vertical. When the balloon climbs up a further height \(h_2\), it is seen at an angle \(60^\circ\) with respect to the vertical if the girl moves further by a distance \(2.464 d\) (point \(C\)). Then the height \(h_2\) is: (given \(\tan 30^{\circ}=0.5774\)):

1. \(d\)
2. \(0.732d\)
3. \(1.464 d\)
4. \(0.464 d\)