Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Review Exercises - Page 1036: 38

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).
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