
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
Three walls of a rectangular room meet at corner point $P$. A fly is in the air three meters from one wall, five meters from another wall, and six meters from the third wall perpendicular to the ceiling, and it is ten meters from point $P$. What is the distance of the fly from the ceiling?
A) $\sqrt{60}$  
B) $\sqrt{62}$  
C) $\sqrt{64}$  
D) $\sqrt{66}$  
E) $\sqrt{68}$

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