College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.5 - Page 163: 143

Answer

$90\sqrt 2$ or $127.3$ feet

Work Step by Step

The Pythagorean theorem is $a^2+b^2=c^2$ to solve for the hypotenuse of a right triangle. We are given that two sides are 90 feet. $90^2+90^2=c^2$ $8100+8100=c^2$ $16200=c^2$ $c=\sqrt {16200}$ $c=90\sqrt 2$ $c\approx127.3$
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