
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 30 foot ladder is placed against a vertical wall of a building. The foot of the ladder is initially 8 feet from the base of the building. The top of the ladder slips 6 feet downward. Determine the distance by which the foot of the ladder will slide outward and the ladder's angle of inclination with the ground thereafter.

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