
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 flagpole is braced by a wire that extends from the top of the pole to a point on the ground 4 meters from its base. When Tom stands 3 meters from the base of the pole towards the point where the wire is attached to the ground, his head just touches the wire. Tom is 1.8 meters tall. How tall is the flagpole?

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