Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 4 - Review Exercises - Page 185: 50c

Answer

10 hours after midnight, the tide is 1.558 feet high.

Work Step by Step

We substitute $x=10$ in the formula and solve: $f(x)=0.6\cos[0.511(x-2.4)]+2$ $f(10)=0.6\cos[0.511(10-2.4)]+2$ $f(10)=0.6\cos[0.511(7.6)]+2$ $f(10)=0.6\cos[3.884]+2$ $f(10)=0.6(-0.7368)+2$ $f(10)=1.558$ Therefore, 10 hours after midnight, the tide is 1.558 feet high.
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