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Radius of the Merry-Go-Round
28 meters
Distance from the center of the Merry-Go-Round to the wall
35 meters
Closest distance Jack is from the wall
7 meters
Farthest distance Jack is from the wall
63 meters
How far is Jack from the wall after a 72° counterclockwise rotation?
Approximately 61.63 meters
Time for one complete rotation of the Merry-Go-Round
60 seconds
Time it takes for Jack to be farthest from the wall
30 seconds
Jill's distance from the wall after t seconds
d = 47 + 30sin(5t)
Radius of the circle in x² + y² = 169
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sin θ of the standard position angle passing through (-5, 12) in x² + y² = 169
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Angle θ of the standard position angle passing through (-5, 12) in x² + y² = 169
112.6 degrees
sin θ for the point (-24, -7)
-7/25
cos θ for the point (-24, -7)
-24/25
Angle θ for the point (-24,-7)
196.95 degrees
Angle θ for the point (√5,-√20)
296.57 degrees