
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 tripod has three legs each of length 6 feet. Originally, the top of the tripod is 5 feet from the ground when set up. In a particular setup, the lower 1 foot of one leg breaks off, and the lower 2 feet of another leg breaks off. Let \( h \) be the height in feet of the top of the tripod from the ground when the tripod with broken legs is set up. Calculate \( h \).

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