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.
$l\approx12.8$
Introductory Algebra for College Students (7th Edition)
by Blitzer, Robert F.
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 - Page 632: 69
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