A light is to be placed on top of a pole with height h feet to keep a busy traffic circle illuminated, which has a radius of 40 ft. The intensity of illumination I at any point P on the circle is directly proportional to the cosine of the angle 0 and inversely proportional to the square of the distance d from the source. At what height should the pole be in order to maximize the illumination of the light? [HINT: Use the figure below as a guide.] d h 40 D 22.28 feet O 28.28 feet 55.67 feet

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