Aircraft such as fighter jets routinely go supersonic (faster than the speed of sound). An aircraft moving faster than the speed of sound produces a cone-shaped shock wave that “booms” as it trails the vehicle. The wave intersects the ground in the shape of one half of a hyperbola and the area over which the “boom” is audible is called the “boom carpet.” If an aircraft creates a shock wave that intersects the ground in the shape of the hyperbola (units in miles), how wide is the “boom carpet” 32 miles behind the aircraft?

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