The base of a cliff is circular. From the extremities of a diameter of the base, the angles of e...

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The base of a cliff is circular. From the extremities of a diameter of the base, the angles of elevation of the top of the cliff are \( 30^{\circ} \) and \( 60^{\circ} \). If the height of the cliff is 500 \( \mathrm{m} \), then the diameter of the base of the cliff is
(A) \( 2000 / \sqrt{3} \mathrm{~m} \)
(B) \( 1000 / \sqrt{3} \mathrm{~m} \)
(C) \( 1000 \sqrt{3} \mathrm{~m} \)
(D) \( 2000 \sqrt{2} \mathrm{~m} \)
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