
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 ship sails at a speed of 30 nautical miles per hour. At point A, it is determined that an oil well P is at a bearing of South 60° East. The ship then sails north for 40 minutes to reach point B, where the oil well P is determined to be at a bearing of South 30° East. The ship changes its course to North 60° East and sails for another 80 minutes to reach point C. Calculate the distance between point P and point C.

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