Assume That the Cities Lie on the Same North-South Line $74.53 ^ { \circ }$

Multiple Choice

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.
-Find the radius (to the nearest hundredth of a millimeter) of a pulley if rotating the pulley $74.53 ^ { \circ }$ raises the pulley $16.0 \mathrm {~mm}$ .

A) $12.10 \mathrm {~mm}$
B) $12.30 \mathrm {~mm}$
C) $12.40 \mathrm {~mm}$
D) $12.20 \mathrm {~mm}$