Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.5 Applications and Modeling with Quadratic Equations - 1.5 Exercises - Page 131: 35

Answer

$5\ ft$

Work Step by Step

Step 1. Based on the figure given in the exercise, use Pythagorean Theorem, we have: $h^2+12^2=(2h+3)^2$ which gives $3h^2+12h-135=0$ Step 2. Factor $(h-5)(3h+27)=0$ and solve the equation (discard the negative answer) to get $h=5\ ft$
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