
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 telephone pole is supported by a steel cable which extends from the top of the pole to a point on the ground 5 meters from its base. When John walks 4 meters from the base of the pole toward the point where the cable is attached to the ground, his head just touches the cable. John is 3 meters tall. How many meters tall is the pole?

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