
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
A triangular prism has base edges of $3, 4, 5 \mathrm{~cm}$. A plane section of the prism forms an equilateral triangle. What is the angle of inclination of the cutting plane with respect to the base plane?

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