Answer
Rope length=$6\sqrt 5$ m
Work Step by Step
From figure
hypotenuse = rope
Using Pythagoras theorem
$hypotenuse^{2}=12^{2}+6^{2}$
$hypotenuse^{2}=144+36$
$hypotenuse^{2}=180$
=$6\sqrt 5$
Rope length=$6\sqrt 5$ m
Elementary Geometry for College Students (5th Edition)
by Alexander, Daniel C.; Koeberlein, Geralyn M.
Published by
Brooks Cole
ISBN 10:
1439047901
ISBN 13:
978-1-43904-790-3
Chapter 5 - Section 5.4 - The Pythagorean Theorem - Exercises - Page 251: 17
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