The angle of elevation of the top of a hill from the foot of a tower is \( 60^{\circ} \) and the...
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The angle of elevation of the top of a hill from the foot of a tower is \( 60^{\circ} \) and the angle of elevation of the top of the tower from the for hill is \( 30^{\circ} \). If the tower is \( 50 \mathrm{~m} \) high, then what is the height of the hill?
(a) \( 180 \mathrm{~m} \)
(b) \( 150 \mathrm{~m} \)
(c) \( 100 \mathrm{~m} \)
(d) \( 120 \mathrm{~m} \)
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