Two pillars of equal height stand on either side of a roadway, which is $100$ m wide. From a point on the roadway between the pillars, the angles of elevation of the tops of the pillars are $30^\circ$ and $60^\circ$. Find the height of the pillars.

Options:

• A: $20\sqrt{3}$ m
• B: $25\sqrt{3}$ m
• C: $50\sqrt{3}$ m
• D: $30\sqrt{3}$ m

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