At noon, the tide is at mid tide of 11 feet. At 6:00 pm, the tide is at low tide of 3 feet. At 6:00 am, the tide is at its high tide of 19 feet. It takes 24 hours for the tide to complete a full cycle. Determine a sinusoidal function that models the tide height h as a function of time t(in hours). Let t = 0 correspond to noon. I I High tide Mid tide Low tide

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.5: Trigonometric Graphs
Problem 9E
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At noon, the tide is at mid tide of 11 feet. At 6:00 pm, the tide is at low tide of 3 feet. At 6:00 am, the tide is
at its high tide of 19 feet. It takes 24 hours for the tide to complete a full cycle. Determine a sinusoidal
function that models the tide height h as a function of time t(in hours). Let t = 0 correspond to noon.
-
High tide
Mid tide
Low tide
d
Transcribed Image Text:At noon, the tide is at mid tide of 11 feet. At 6:00 pm, the tide is at low tide of 3 feet. At 6:00 am, the tide is at its high tide of 19 feet. It takes 24 hours for the tide to complete a full cycle. Determine a sinusoidal function that models the tide height h as a function of time t(in hours). Let t = 0 correspond to noon. - High tide Mid tide Low tide d
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