The angle of elevation of the top of a building from the foot of a tower is $30^\circ$ and the angle of elevation of the top of the tower from the foot of the building is $60^\circ$. If the tower is $50$ m high, find the height of the building.
Options:
- A: $\frac{50}{3}$ m
- B: $50$ m
- C: $\frac{100}{3}$ m
- D: $25\sqrt{3}$ m
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