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You are standing at a certain horizontal distance from the base of a building that is perpendicular to level ground. You observe an angle of elevation from your feet to the top of the building to be \(30^{0} \). Then you walk 100 feet straight towards the building and stop short of reaching the building to tie your shoes. At that point, you observe an angle of elevation to the top of the building to be \(60^{0} \). To the nearest foot, how tall is the building?
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