Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 1 - Foundations for Algebra - 1-3 Real Numbers and the Number Line - Practice and Problem-Solving Exercises - Page 21: 66

Answer

20.6 ft

Work Step by Step

We are given the equation: $\sqrt{( (x)^{2} + (4x)^{2} )}$ It is said that the ladder is 5 feet away from the wall; thus, x=5, and we plug it into the equation: =$\sqrt{( (x)^{2} + (4x)^{2} )}$ =$\sqrt{( (5)^{2} + (4(5))^{2} )}$ =$\sqrt{(425)}$ =20.6 ft
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