Solve the applied problem.
A spotlight is to be placed on the side of a 28-foot tall building to illuminate a bench that is 32 feet from the base of the building. The intensity I of the light at the bench is known to be x/d3, where x is the height of the spotlight above the ground and d is the distance from the bench to the spotlight. If the intensity is to be .00035, how high should the spotlight be?
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