
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
An object moves 10 cm in a straight line from a point A to a point B, then turns at an angle α (measured in radians and chosen at random from the interval $(0,\pi)$), and moves 6 cm in a straight line to a point C. Determine the probability that the distance between points A and C is less than 8 cm.
A) $\frac{1}{7}$
B) $\frac{1}{6}$
C) $\frac{1}{5}$
D) $\frac{1}{4}$
E) $\frac{1}{3}$

Present the answer in LaTex format: \boxed{Your answer}
user