A fireplace arch is to be constructed in the form of a semiellipse. The opening is to have
a height of 1 foot at the center and a width of 6 feet along the base. The contractor cuts a
string of a certain length and nails each end of the string at the foci of the base in order
to sketch the outline of the semiellipse.
How far from the center should the string be nailed into the base?