I have a few questions I could use help with.In a tidal river, the time between high and low tide is 5.2hrs. At high tide the depth of the water is 18.7ft. The low tide depth is 4.1ft. So now assume the water depth as a function of time can be expressed by a trigonomic function whether it be sine or cosine.First graph the depth of the water over time if there is a low tide at 12:00pm and make sure to label the graph indicating the low and high tide. Now write an equation for the depth f(t) of the tide (in ft) t hours after 12:00pm.A boat requires a depth of 8ft to set sail, and it is docked at 12:00pm. What is the earliest time in the afternoon it can set sail? Make sure to round the answer to the nearest minute.

Given that the time difference between high and low tide is 5.2 hours,the depth of water at high…

Answered: In a tidal river, the time between high…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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I have a few questions I could use help with.

In a tidal river, the time between high and low tide is 5.2hrs. At high tide the depth of the water is 18.7ft. The low tide depth is 4.1ft. So now assume the water depth as a function of time can be expressed by a trigonomic function whether it be sine or cosine.

First graph the depth of the water over time if there is a low tide at 12:00pm and make sure to label the graph indicating the low and high tide.
Now write an equation for the depth f(t) of the tide (in ft) t hours after 12:00pm.
A boat requires a depth of 8ft to set sail, and it is docked at 12:00pm. What is the earliest time in the afternoon it can set sail? Make sure to round the answer to the nearest minute.

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