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a clock has a radius of 8 inches. the center is 10 inches below the ceiling (as shown in the picture). measure the distance from the ceiling to the tip of the hour hand at each hour beginning at 12:00 (which is t = 0). for example, at t = 0, d = 2in. complete the table and round your answers to the nearest hundredth if needed. write a sin or cos equation as well.

User Seymour
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1 Answer

4 votes
At
t = 0, d = 0
t = 1, d = 3.07
t = 2, d = 6
t = 3, d = 10
t = 4, d = 14
t = 5, d = 16.93
t = 6, d = 18
t = 7, d = 16.93
t = 8, d = 14
t = 9, d = 10
t = 10, d = 6
t = 11, d = 3.07

The equation is:
In degrees:
y = 10 - 8 cos 30x

In radians
y = 10 - 8 cos πx/6
User Dean Goodman
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