At a certain ocean bay, the maximum height of the water is 4 m above mean sea level at 8:00 a.m. The height is at a maximum again at 8:24 p.m. Assume that the relationship between the height, h, in metres, and the time, t, in hours, is sinusoidal and that the minimum height of the water is 2 m below mean sea level. Determine a mathematical model that describes the height of the tide as a function of time, assuming t = 0 is 8 a.m.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 78RE
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At a certain ocean bay, the maximum height of the water is 4 m above mean sea level at 8:00 a.m. The height
is at a maximum again at 8:24 p.m. Assume that the relationship between the height, h, in metres, and the
time, t, in hours, is sinusoidal and that the minimum height of the water is 2 m below mean sea level.
Determine a mathematical model that describes the height of the tide as a function of time, assuming t = 0
is 8 a.m.
Transcribed Image Text:At a certain ocean bay, the maximum height of the water is 4 m above mean sea level at 8:00 a.m. The height is at a maximum again at 8:24 p.m. Assume that the relationship between the height, h, in metres, and the time, t, in hours, is sinusoidal and that the minimum height of the water is 2 m below mean sea level. Determine a mathematical model that describes the height of the tide as a function of time, assuming t = 0 is 8 a.m.
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