The discussion centers around the visibility of the Burj Khalifa from a distance of 250 kilometers and the necessary height for a building to be seen at that distance. Calculations indicate that a building would need to be approximately 4.9 kilometers tall to be visible from 250 kilometers away, based on the Earth's curvature and using the Pythagorean theorem. The Earth’s radius at Dubai's latitude is about 6374.344 kilometers, which factors into the calculations. The conversation also touches on the accuracy of the initial equation used to derive this height, with confirmations that the approximation was correct. Additionally, it is noted that the actual height of the Burj Khalifa is 0.8298 kilometers, allowing for further calculations regarding visibility distances based on its height.