Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Review - Page 470: 126

Answer

$\text{approximately }4.24\text{ }ft$

Work Step by Step

Let $x$ be the length of the connecting pipe. Using $a^2+b^2=c^2$ or the Pythagorean Theorem, then \begin{array}{l}\require{cancel} 3^2+3^2=x^2 .\end{array} The equation above simplifies to \begin{array}{l}\require{cancel} 9+9=x^2 \\ 18=x^2 .\end{array} Taking the square root of both sides and using the properties of radicals, the equation above is equivalent to \begin{array}{l}\require{cancel} \sqrt{18}=x \\ x\approx4.24 .\end{array} Hence, the length of the connecting pipe, $x,$ is $ \text{approximately }4.24\text{ }ft .$
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