i.
To find: The average depth of water.
Given:
The tide table as follows and the height of high tide and low tide shown by local pier is
Calculation:
The average depth of water is,
Conclusion:
Hence, the average depth of water is
ii.
To find: The length of one cycle.
Given:
The tide table as follows and the height of high tide and low tide shown by local pier is
Calculation:
The length of one cycle is,
Conclusion:
Hence, the length of one cycle
iii.
To find: The cosine function that represents the specified relationship.
Given:
The tide table as follows and the height of high tide and low tide shown by local pier is
Concept:
Use the standard equation of cosine function
Calculation:
The amplitude of the function is,
And the value of
Substitute the known values in
Conclusion:
Hence, the cosine function is
iv.
To find: The time when the boat come and go.
Given:
The water required by boat is
Calculation:
The average depth of water is
It is understood that
The water required by boat is
So, according to the graph, the required time is,
Conclusion:
Hence, the required time is
Chapter 13 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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