
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 \(A\) to \(B\), turns at an angle \(\alpha\) (measured in radians and chosen randomly from the interval \((0, \frac{\pi}{2})\)), and moves \(8\) cm in a straight line to \(C\). What is the probability that \(AC < 10\)?
A) 0
B) 1/12
C) 1/6
D) 1/4
E) 1/3

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