On the same side of a tower, two objects are located. When observed from the top of the tower, t...

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On the same side of a tower, two objects are located. When observed from the top of the tower, their angles of depression are \( 45^{\circ} \) and \( 60^{\circ} \). If the height of the tower is \( 150 \mathrm{~m} \), find the distance between the objects.
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