Answer
$ 128$ feet
Work Step by Step
Step 1. Using the figure given in the exercise, we can write the general form of the parabola as $x^2=4py$
Step 2. As point $(150,44)$ is on the parabola, we have $150^2=4p(44)$, which gives $p=\frac{150^2}{4(44)}\approx128\ ft$. Thus the receiver should be placed at about 128 feet above the base (vertex).