The angle of elevation of the top of a tower from a point on the ground, which is $30$ m away from the foot of the tower, is $30^\circ$. What is the height of the tower?
Options:
- A: $10\sqrt{3}$ m
- B: $15\sqrt{3}$ m
- C: $20\sqrt{3}$ m
- D: $30\sqrt{3}$ m
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