An object moves 8 \mathrm{~cm} in a straight line from A to B, turns at an angle \alpha, measured in radians and chosen at random from the interval (0, \pi), and moves 5 \mathrm{~cm} in a straight line to C. What is the probability that A C<7 ?
Answer Choices
A. \dfrac{1}{6}
B. \dfrac{1}{5}
C. \dfrac{1}{4}
D. \dfrac{1}{3}
E. \dfrac{1}{2}