Question

The height of the June 2, 2010 tides in San Francisco Bay, North Point, at Pier 41 is modeled by H (t) = 2.5 sin(0.46t) + 2.5
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Answer #1

The high tides occur when , the height H(t) attains maximum value , that is the time when sine function become maximum .

Sine function attains maximum value at \pi/2

0.46t=\pi/2

t=\frac{\pi}{2\times0.46}\approx 3.415 \ \textup{hours}

So high tides occur after 3.415 hours from midnight , that is at time of about 3 hour , 0.415×60 minutes , we get time as approximately ,

3:24:54 AM or 3:25 AM

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