determining the height at which the light has to, Mathematics

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determining the height at which the light has to

Determining the height at which the light has to be fixed to get its use in maximum area using its perimeter function.

Illumination A light source is located over the center of a circular table of diameter 4 feet (see figure). Find the height h of the light source such that the illumination I at the perimeter of the table is maximum if I = k(sinα )/s², where s is the slant height, α is the angle at which the light strikes the table, and k is a constant.

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