612 points l Previous Answers UWAPreCaic9PO04 Suppose the hi

6/12 points l Previous Answers UWAPreCaic9.PO04 Suppose the high tide in Seattle occurs at 1:00 a.m and 1:00 p.m. at which time the water is 16 feet above the height of 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. ght (In other words, y (a) Find a fo ula for the function y·nt, that computes the height of the tide above low tide at time t where t i dates the number of hours after mid corresponds to low tide.) nn.lesi (.5)+8]× . (b) What is the tide height at 11:00 a.m.? Adsitional Materials LD Reading

Solution

amplitude = 16/2 = 8

period = 12

2pi/B = 12

B = pi/6

C = pi/6 ( t - 1)

C = pi/6

D = 8

hence, the formula is

h(t) = 8 sin ( pi*t/6 - pi/6 ) + 8

h(t) = 8 sin ( pi/6 ( t -1) ) + 8