#### 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.
$l\approx12.8$

Published by
Pearson

ISBN 10:
0-13417-805-X

ISBN 13:
978-0-13417-805-9

12.8 ft

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