A light source is located over the center of a circular table of diameter d = 12 feet (see figure). Find the height h of the

Question

A light source is located over the center of a circular table of diameter d = 12 feet (see figure). Find the height h of the light source such that the illumination I at the perimeter of the table is maximum when
I = k sin a / s²
where s is the slant height, a is the angle at which the light strikes the table, and k is a constant.
h =

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