Trigonometry (10th Edition)

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

Chapter 4 - Graphs of the Circular Functions - Section 4.1 Graphs of the Sine and Cosine Functions - 4.1 Exercises - Page 145: 53

Answer

Approximately $3:18$ am, approximately $2.4$ ft

Work Step by Step

For Lahaina, the data for Kahului Harbor needs to adjusted by $+1:18$ in case of the high tide. In regards for Kahului Harbor, on January 22, the highest point on the graph occurs at approximately 2 am. Since the highest point on the graph corresponds to the high tide, this means that the high tide occurs at approximately 2 am. Therefore, for Lahaina, the high tide occurs at approximately: $2+1:18=3:18$ am For Lahaina, the data for Kahului Harbor needs to adjusted by $-0.2$ ft when finding height related to the high tide. According to the graph for Kahului Harbor, the height that corresponds to the high tide is approximately $2.6$ feet. Therefore, for Lahaina, the hieght corresponding to the high tide is: $+2.6-0.2=2.4$ ft
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