Help With Pre-calc Problem - Sinusoidal Function?

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FallingIntoLife

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My teacher gave us this problem and we were never taught how to do it and I can't figure out how to do it from the book. Can anyone explain it step by step?

One particular July 4th in Galveston, TX, high tide occurred at 9:36 A.M. At that time the water at the end of the 61st Street Pier was 2.7 meters deep. Low tide occurred at 3:48 P.M. at which time the water was only 2.1 meters deep. Assume that the depth of the water is a sinusoidal function of time with a period of half a lunar day (about 12 hours and 24 minutes.)

a) At what time on the 4th of July did the first low tide occur?

b) What was the approximate depth of the water at 6:00 A.M. and at 3:00 P.M. that day?

c) What was the first time on July 4th when the water was 2.4 meters deep?

thanks :)
 
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