
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 initially 10 meters high is snapped by a strong wind. The upper part of the flagpole, still partially attached, falls and reaches the ground 3 meters from the base of the flagpole. Determine the height $x$ where it breaks.
A) 6.5 meters
B) 7.1 meters
C) 7.4 meters
D) 7.8 meters
E) 8.0 meters

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