
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 ladder  $10\text{ m}$  long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of  $1\text{ m/s}$ , how fast is the top of the ladder sliding down the wall when the bottom of the ladder is  $6\text{ m}$  from the wall?

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