
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 $A$ to $B$, turns at an angle $\beta$, measured in radians and chosen at random from the interval $(0, \frac{\pi}{2})$, and moves $7$ cm in a straight line to $C$. What is the probability that $AC < 9$?
A) $\frac{1}{6}$
B) $\frac{1}{5}$
C) $\frac{1}{4}$
D) $\frac{1}{3}$
E) $\frac{1}{2}$

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