Assume That the Cities Lie on the Same North-South Line $6.6$

Multiple Choice

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 $6.6$ centimeters and the radius of the larger wheel is $15.2$ centimeters. Through how many degrees (to the nearest hundredth of a degree) will the larger wheel rotate if the smaller one rotates $38 ^ { \circ }$ ?

A) $17.50 ^ { \circ }$
B) $16.50 ^ { \circ }$
C) $16.40 ^ { \circ }$
D) $18.50 ^ { \circ }$