A baloon 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 distanced (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 gitl moves further by a distance 2.464 \; d (point C). Then the height h_{2} is (given \tan 30^{\circ}=0.5774) :

   
Option: 1 1.464\; d
Option: 2 0.732\: d
Option: 3 0.464\: d
Option: 4 d

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