Tide height as a function of time resembles a sinusoidal function during the time between low and high tide. At one such location on another planet with water, the tide has a high of 12.7 feet at 2 am and then the next low is -0.8 feet at 11 am (9 hours later). Find a formula for a sinusoidal function H(t) that gives the height tt hours after midnight.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.6: Optimization
Problem 24E
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Tide height as a function of time resembles a sinusoidal function during the time between low and high tide.

At one such location on another planet with water, the tide has a high of 12.7 feet at 2 am and then the next low is -0.8 feet at 11 am (9 hours later).

Find a formula for a sinusoidal function H(t) that gives the height tt hours after midnight.

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