
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 man was building a house for himself. Only the roof remains to be completed. The builder wanted the raindrops falling on the roof to roll off as quickly as possible. Determine the angle of inclination of the roof required to achieve this goal. Ignore friction between the raindrops and the roof.

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