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Tides are cyclical phenomena caused by the gravitational pull of the sun and the moon.?
. On a particular retaining wall, the ocean generally reaches the 3 m mark at high tide. At low tide, the water reaches the 1 m mark. Assume that high tide occurs at 12:00 p.m. and at 12:00 a.m., and that low tide occurs at 6:00 p.m. and 6:00 a.m. What is the height of the water at 10:30 a.m.?
4 Answers
- ?Lv 72 years agoFavorite Answer
The sine wave goes from 2-A at 6:00 to 2+A at 12:00. You can think of 6:00 as -90 degrees and 12:00 as +90 degrees. Then 10:30 corresponds to 45 degrees. The height will be 2 + [A*sin(45)] = 2.707 m.
- Anonymous2 years ago
That isn't a question.
- billrussell42Lv 72 years ago
the amplitude of the sine wave is 2 m / 2 = 1 m
the period is 12 hours
you want 10.5 hr after the + peak
first develop an equation and check it
h = 2 + cos kt
cos function has a period of 2π
2π = k(12hr)
k = π/6
h = 2 + cos (πt/6)
t = 0 (midnight) h = 3
t = 6 (6am)
h = 2 + cos (π) = 2 – 1 = 1
ok
h(10.5) = 2 + cos (π(10.5)/6) = 2.707 m
