The angles of depression of two points from the top of the tower are \( 30^{\circ} \) and \( 60^...

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The angles of depression of two points from the top of the tower are \( 30^{\circ} \) and \( 60^{\circ} \). If the height of the tower is \( 30 \mathrm{~m} \), then find the maximum possible distance between the two points.
(a) \( 40 \sqrt{3} \mathrm{~m} \)
(b) \( 30 \sqrt{3} \mathrm{~m} \)
(c) \( 20 \sqrt{3} \mathrm{~m} \)
(d) \( 10 \sqrt{3} \mathrm{~m} \)
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