Precalculus (6th Edition) Blitzer

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

Chapter 9 - Mid-Chapter Check Point - Page 1000: 34


$1.4\ m$

Work Step by Step

Step 1. Assuming the top of the ceiling is the origin, we can write the equation of the parabola as $x^2=4py$ Step 2. As point $(\frac{15}{2}, -10)$ is on the curve, we have $(\frac{15}{2})^2=4p(-10)$. Thus $p =- \frac{45}{32}\approx-1.4$ Step 3. The light source should be placed at the focus, which is about $1.4\ m$ down from the top of the dome.
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