There is a vertical tower on a horizontal plane with a flag pole on the top of a tower. At a poi...

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There is a vertical tower on a horizontal plane with a flag pole on the top of a tower. At a point \( 9 \mathrm{~m} \) away from the foot of the tower the angles of elevation of the top and bottom of the flag pole are \( 60^{\circ} \) and \( 30^{\circ} \) respectively. Which of the following is/are true?
a. Height of the tower is \( 3 \sqrt{3} \mathrm{~m} \)
b. Height of the tower is \( 8 \sqrt{3} \mathrm{~m} \)
c. Height of the flag pole is \( 6 \sqrt{3} \mathrm{~m} \)
d. Height of the flag pole is \( 2 \sqrt{3} \mathrm{~m} \)
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