5. A jet is descending toward the ground along a path described by the upper branch of the hyperbola 16y² –x² = 400. The fog is heavy at the airport where the jet is trying to land and at the last moment (dangerously late) the pilot realizes he is not over the runway, aborts the landing and pulls up with the jet continuing to travel along the hyperbolic path. The y-coordinate gives the jet's height above the ground in meters. How close to the ground does the jet come? Along the path of the jet, 100 meters beyond its lowest point, there is a building 25 meters high. Will the jet clear the building? If yes then by how much and if no then by how much? Give your answer to the nearest 1/1000 of a meter. Show calculations. %3D

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