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: 52

Answer

Approximately 7:19 pm, approximately 0 feet

Work Step by Step

For Maalaea, the data for Kahului Harbor needs to adjusted by $+1:19$ in case of the low tide. In regards for Kahului Harbor, on January 20, the lowest point on the graph occurs at approximately 6 pm. Since the lowest point on the graph corresponds to the low tide, this means that the low tide occurs at approximately 6 pm. Therefore, for Maalaea, the low tide occurs at approximately: $6+1:19=7:19$ pm For Maalaea, the data for Kahului Harbor needs to adjusted by $-0.2$ ft when finding height related to the low tide. According to the graph for Kahului Harbor, the height that corresponds to the low tide is approximately $0.2$ feet. Therefore, for Maalaea, the hieght corresponding to the low tide is: $+0.2-0.2=0$ ft
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