Solve the Problem $14.6$ Inches Swings $5 ^ { \circ } 27 ^ { \prime }$

Multiple Choice

Solve the problem.
-A pendulum of length $14.6$ inches swings $5 ^ { \circ } 27 ^ { \prime }$ to each side of its vertical position. What is the length (to the nearest hundredth of an inch) of the arc through which the end of the pendulum swings?

A) $2.58 \mathrm { in }$ .
B) $2.78 \mathrm { in }$ .
C) $2.68 \mathrm { in } .$
D) $2.48 \mathrm { in }$ .