Supertall high rises have changed the Manhattan skyline. These skyscrapers are known for their small footprint in proportion to their height, with their ratio of width to height at most \(1:10\text{,}\) and some as extreme as \(1:24\text{.}\) Suppose that a relatively short supertall has been built to a height of \(635\) feet, as pictured in the given figure, and that a second supertall is built nearby. Given the two angles that are computed from the new building, how tall, \(s\text{,}\) is the new building, and how far apart, \(d\text{,}\) are the two towers?