An airplane while flying at a height of \( 4000 \mathrm{~m} \) from the ground passes vertically...

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An airplane while flying at a height of \( 4000 \mathrm{~m} \) from the ground passes vertically above another airplane at an instant when the angles of the elevation of the two planes from the same point on the ground are \( -60^{\circ} \) and \( 45^{\circ} \) respectively. Find the vertical distance between the airplanes at that instant.
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