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

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

1
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