
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 lamp post is supported by a steel cable which extends from the top of the lamp post to a point on the ground 4 meters away from its base. When Mike walks 3 meters away from the base of the post toward the point where the cable touches the ground, the top of his head just touches the cable. Mike is 1.6 meters tall. How many meters tall is the lamp post?

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