
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
Each of the three legs of a tripod is 5 units long, and the angles between any two legs are equal and fixed. When the tripod is set on the ground, the height from the top to the ground is 4 units. Later, one leg is damaged and 1 unit is cut off from its bottom. When the tripod is set on the ground again, the height from the top to the ground becomes $\qquad$ units.

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