A vertical pole and a vertical tower are standing on the same level ground. From the top of the pole, the angle of elevation of the top of the tower is $60^\circ$ and the angle of depression of the foot of the tower is $30^\circ$. If the height of the pole is 20 m, find the height of the tower.
Options:
- A: 60 m
- B: 80 m
- C: 100 m
- D: 50 m
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