The Earth is round.Geometry Level pending
Suppose that Eratosthenes incorrectly assumed that the Earth was flat, and that the discrepancy was explained by the sun's rays not being parallel. In this scenario, two vertical poles are placed 1000 km apart. One pole casts a shadow at 0 degrees away from the normal, while the other casts a shadow at an angle of 8.98 degrees away from the normal. Supposing the Earth is flat, what would be the height of the sun above the ground, in kilometers, necessary to produce this effect?
Assume that the height of the poles are negligible.