
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 $12$ cm in a straight line from point $A$ to point $B$, then turns at an angle $\alpha$, measured in radians and chosen at random from the interval $(0, \pi)$, and moves $7$ cm in a straight line to point $C$. What is the probability that the distance $AC$ is less than $10$ cm?
A) $\frac{1}{4}$
B) $\frac{1}{3}$
C) $\frac{2}{5}$
D) $\frac{1}{2}$
E) $\frac{3}{5}$

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