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.