
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
Kim places two very long (and very heavy) ladders, each 15 meters long, on a flat floor between two vertical and parallel walls. Each ladder leans against one of the walls. The two ladders touch the floor at exactly the same place. One ladder reaches 12 meters up one wall and the other ladder reaches 9 meters up the other wall. In meters, how far apart are the walls?

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