Two towers stand on a horizontal plane. From a point on the line joining their feet, the angles of elevation of their tops are $60^\circ$ and $30^\circ$. If the height of the first tower is 90 m, find the height of the second tower, given that the point lies exactly midway between the towers... (Note: The point is equidistant from both towers.)
Options:
- A: 30 m
- B: 45 m
- C: 60 m
- D: $30\sqrt{3}$ m
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