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A balloon is moving up in air vertically...

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 (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 `h_2`, it is seen at an angle `60^@` with respect to the vertical if the girl moves further by a distance 2.464d (point C). Then the height `h_2` is (give `tan 30^@ = 0.5774`)

A

1.464 d

B

0.732d

C

0.464d

D

d

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