Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 8 - Section 8.1 - The Square Root Property and Completing the Square - Exercise Set - Page 595: 86

Answer

$8.94$ (approximately)

Work Step by Step

Apply Pythagorean theorem. $c^2=a^2+b^2$ Plug $a=4 ft$ and $b= 8 ft$. We have $c^2=16+64$ or, $c^2=80$ or, $c=\sqrt {80}$ or, $c=4\sqrt 5$ or $c=8.94$ (approximately)
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