Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 9 - Section 9.1 - Solving Quadratic Equations by the Square Root Property - Exercise Set: 69

Answer

12.8 ft

Work Step by Step

Use the Pythagorean Theorem. Let l be the length of the ladder. $l^2=8^2+10^2$ Simplify. $l^2=64+100$ $l^2=164$ Take the square root of each side. $\sqrt{l^2}=\sqrt{164}$ Simplify and round. $l\approx12.8$
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