SOLUTION: In Crescent Moon Bay in July, high tide is at 3:00 pm. The water level is 6 feet at high tide and 2 feet at low tide. Assuming the next high tide is exactly 12 hours later and th

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: In Crescent Moon Bay in July, high tide is at 3:00 pm. The water level is 6 feet at high tide and 2 feet at low tide. Assuming the next high tide is exactly 12 hours later and th      Log On


   



Question 1042448: In Crescent Moon Bay in July, high tide is at 3:00 pm. The water level is 6 feet at high tide and 2 feet at low tide.
Assuming the next high tide is exactly 12 hours later and the height of the water can be modeled by a cosine curve,
find an equation for Crescent Moon Bay's water level in July as a function of time (t).

Answer by ikleyn(52782) About Me  (Show Source):
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In Crescent Moon Bay in July, high tide is at 3:00 pm. The water level is 6 feet at high tide and 2 feet at low tide.
Assuming the next high tide is exactly 12 hours later and the height of the water can be modeled by a cosine curve,
find an equation for Crescent Moon Bay's water level in July as a function of time (t).
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h(t) = 4+%2B+2%2Acos%282pi%2A%28%28t-3%29%2F12%29%29,

where t is time in hours, t=0 at midnight till t=24 next midnight. 




Plot h(t) = 4+%2B+2%2Acos%282pi%2A%28%28t-3%29%2F12%29%29