A light source is located over the center of a circular table of diame

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

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A light source is located over the center of a circular table of diameter 4 feet. Find the height $h$ of the light source such that the illumination $I$ at the perimeter of the table is maximum if $I = k (\sin α) / s^{2}$ , where $s$ is the slant height, $α$ is the angle at which the light strikes the table, and $k$ is constant.