Sinusoidal Model for Tidal Data

Question

The depth of water in a harbor is affected by the tides. A low tide of 1.5 meters occurs at 2:15 p.m., and a high tide of 7.5 meters occurs at 8:15 p.m. The depth, $d(t)$, in meters, can be modeled by a sinusoidal function, where $t$ is the number of hours after midnight. Which of the following functions best models the depth of the water?

Accepted Answer

$$d(t) = 3·sin\left(\frac{\pi}{6}(t-17.25)\right) + 4.5$$

Answer

$$d(t) = 3·sin\left(\frac{\pi}{6}(t-20.25)\right) + 4.5$$

Answer

$$d(t) = 3·sin\left(\frac{\pi}{6}(t-8.25)\right) + 4.5$$

Answer

$$d(t) = 3·sin\left(\frac{\pi}{6}(t-14.25)\right) + 4.5$$

Sinusoidal Model for Tidal Data

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