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Two vertical lamp-posts of equal height stand on either side of a road $50$m wide. At a point $P$ on the road between them, the elevation of the tops of the lamp-posts are $60^{∘}$ and $30^{∘}$. Find the distance of $P$ from the lamp-post which makes angle of $60^{∘}$.

1. $25$m
2. $12.5$m
3. $16.5$m
4. $20.5$m
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