Mathematics

Sadie Davila

25 May, 22:52

Suppose the high tide in Seattle occurs at 1:00 a. m. and 1:00 p. m. at which time the water is 10 feet above the height of the low tide. Low tides occur 6 hours after high tides. Suppose there are two high tides and two low tides every day and the height of the tide varies sinusoidally.

a) Find a formula for the function y = h (t) that computes the height of the tide above low tide at time t. (In other words, y = 0 corresponds to low tide)

b) What is the tide height at 11:00 am?

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