The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equations can be used to model the height as a function of time, t, in hours? Assume that the time at t = 0 is 12:00 a. m

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Saniya Winters

6 September, 13:49

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Mara Ferguson · Answer 1

Y=Acos (p) + m, A=amplitude, p=period, m=midline, in this case:

A=1/2, p=360 (t/12) = 30t, m = (10-9) / 2+9=9.5 so

h (t) = (1/2) cos (30t) + 9.5