Solve the Problem $12.7 ^ { \circ } ; 72.23 \mathrm { mi }$

Multiple Choice

Solve the problem.
-In flying the 81 miles from Champaign to Peoria, a student pilot sets a heading that is 9° off course and maintains an average speed of 96 miles per hour. After 15 minutes, the instructor notices the course error and
Tells the student to correct his heading. Through what angle will the plane move to correct the heading and how
Many miles away is Peoria when the plane turns?

A) $12.7 ^ { \circ } ; 72.23 \mathrm { mi }$
B) $12.7 ^ { \circ } ; 57.42 \mathrm { mi }$
C) $167.3 ^ { \circ } ; 72.23 \mathrm { mi }$
D) $167.3 ^ { \circ } ; 57.42 \mathrm { mi }$