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A light is suspended at a height "h" above the floor. The illumination at the point P is inversely proportional to the square of the distance from the point P to the light ("r") and directly proportional to the cosine of the angle theta. How far from the floor should the light be to maximize the illumination at the point P?

light

|\ o=theta

|o \

| \

h| \ r

| \

| \

|__10M__\

floor P

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# Tricky Optimization Problem

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