77. Writing to Learn Elliptical Billiard Table Elliptical billiard tables have been constructed with spots marking the foci. Suppose such a table has a major axis of 6 ft and minor axis of 4 ft .
(a) Explain the strategy that a "pool shark" who knows conic geometry would use to hit a blocked spot on this table.
(b) If the table surface is coordinatized so that (0,0) represents the center of the table and the x-axis is along the focal axis of the ellipse, at which point(s) should the ball be aimed?