#### Answer

The receiver must be placed at 1.125 feet from the base
of the smaller dish.

#### Work Step by Step

As per the given statement , we have Depth: $y=2$
and Diameter = 6 feet. This implies that Radius: $2x=6 \implies x=3$
Now, consider $x^2=4py$
This implies that $(3)^2=(4p)(2) \implies p=1.125$
Hence, the receiver must be placed at 1.125 feet from the base
of the smaller dish.