Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - Cumulative Review - Page 849: 48


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Work Step by Step

The rope forms a chord of the circle and is a maximum distance of 50 feet from the edge of the pond. From this detail, we can sketch it and get $$\frac{l}{2}=\sqrt 165^2-(165-50)^2\\\frac{l}{2}=20\sqrt 35$$ The length of the rope is $l=40\sqrt 35\approx236.643$
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