If the sun ray's inclination increases from \( 45^{\circ} \) to \( 60^{\circ} \), the length of ...

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If the sun ray's inclination increases from \( 45^{\circ} \) to \( 60^{\circ} \), the length of the shadow of a tower decreases by \( 50 \mathrm{~m} \). Find the height of the tower (in \( \mathrm{m} \) ).
(a) \( 50(\sqrt{3}-1) \)
(b) \( 75(3-\sqrt{3}) \)
(c) \( 100(\sqrt{3}+1) \)
(d) \( 25(3+\sqrt{3}) \)
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