Answered: 15.7 tide depth (ft) 5.6 12 18 t hours…

Name: In a tidal river, the time between high and low tide is 6.2 hours. At
Uploaded: 2024-03-20T06:46:42.000Z
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Description: In a tidal river, the time between high and low tide is 6.2 hours. At high tide the depth of water is 15.7 feet, while at low tide the depth is 5.6 feet. Assume the water depth as a function of time can be expressed by a trigonometric function (sine

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 8E

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In a tidal river, the time between high and low tide is 6.2 hours. At high tide the depth of water is 15.7 feet, while at low tide the depth is 5.6 feet. Assume the water depth as a function of time can be expressed by a trigonometric function (sine or cosine).

Write an equation for f(t) when the depth of the tide (in feet) t hours after 12:00 noon.

A boat requires a depth of 8 feet to set sail, and is docked at 12:00 noon. What is the latest time in the afternoon it can set sail? Round your answer to the nearest minute.

15.7
tide
depth
(ft)
5.6
12
18
t hours since noon (t=0 at noon)

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