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Two boys who are oneither side of a tower of 100 meters height observe that the angles of elevation of the top of the tower are $$30^\circ$$ and $$45^\circ$$. The distance (in meters) between the boys is
$$100(2 + \sqrt{3})$$
$$100(1 - \sqrt{3})$$
$$100(1 + \sqrt{3})$$
$$100(2 - \sqrt{3})$$
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