A possible function that models the height of the tide t hours after 12 a.m. is:
h(t) = 1.2sin(πt/6) + 0.7
This function takes into account the difference between high and low tides (1.8 - 0.4 = 1.4 meters), the midpoint between high and low tides (1.1 meters), and the timing of the tides (6-hour period between high and low tides).
Question
On Dolphin Beach, the high tide is 1.8 meters and only occurs at 12 a.m. and 12 p.m. The low tide is 0.4 meter and only occurs at 6 a.m. and 6 p.m.
Which function models the height of the tide t hours after 12 a.m.?
1 answer
1 answer