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Assume That the Cities Lie on the Same North-South Line 6.66.6

question 82

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Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.
-Two wheels are rotating in such a way that the rotation of the smaller wheel causes the larger wheel to rotate. The radius of the smaller wheel is 6.66.6 centimeters and the radius of the larger wheel is 15.215.2 centimeters. Through how many degrees (to the nearest hundredth of a degree) will the larger wheel rotate if the smaller one rotates 3838 ^ { \circ } ?


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