Two poles of equal heights are standing opposite each on either side of the road, which is 120 m wide. From a point between them on the road, the angle of elevation of the top of the poles is 45° and 30°, respectively. What is the height of the poles?

1
120 m
2
\(60\left( \sqrt{3}+1 \right)\) m
3
\(60\left( \sqrt{3}-1 \right)\) m
4
\(\dfrac{120}{\sqrt{3}-1} \;m\)

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