A balloon is moving up in air vertically above a point A on the ground. When it is at a height
h1, a girl standing at a distance
d (point
B ) from A (see figure) sees it at an angle
45° with respect to the vertical. When the balloon climbs up a further height
h2 , it is seen at an angle
60° with respect to the vertical if the girl moves further by a distance 2.464 d (point
C ). Then the height
h2 is (given tan
30°=0.5774):