Assume That the Cities Lie on the Same North-South Line $76 ^ { \circ }$

Multiple Choice

Assume that the cities lie on the same north-south line and that the radius of the earth is 6400 km.
-A pendulum swinging through a central angle of $76 ^ { \circ }$ completes an arc of length $14.3 \mathrm {~cm}$ . What is the length of the pendulum? Round to the nearest hundredth.

A) $10.68 \mathrm {~cm}$
B) $10.88 \mathrm {~cm}$
C) $10.78 \mathrm {~cm}$
D) $10.58 \mathrm {~cm}$