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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 \(2.464 \mathrm{~d}\) (point \(C\) ). Then the height \(h_2\) is (given \(\tan 30^{\circ}=0.5774\) ) 📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live