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. The lowest sea level is 4 m below mean sea level. a) Assuming that the relationship between the height, h, in metres, and the time, t, in hours, is sinusoidal, determine an equation to model the height of the water with respect to time. b) Determine the height of the water above mean sea level at 10:00 a.m.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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At a certain ocean bay, the maximum height of the water is 4 m above i
mean sea level at 8:00 a.m. The height is at a maximum again at 8:24
p.m. The lowest sea level is 4 m below mean sea level.
a) Assuming that the relationship between the height, h, in metres,
and the time, t, in hours, is sinusoidal, determine an equation to
model the height of the water with respect to time.
b) Determine the height of the water above mean sea level at 10:00
a.m.
Transcribed Image Text:At a certain ocean bay, the maximum height of the water is 4 m above i mean sea level at 8:00 a.m. The height is at a maximum again at 8:24 p.m. The lowest sea level is 4 m below mean sea level. a) Assuming that the relationship between the height, h, in metres, and the time, t, in hours, is sinusoidal, determine an equation to model the height of the water with respect to time. b) Determine the height of the water above mean sea level at 10:00 a.m.
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