
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 at point A observes another ship, which is in the direction of 60° north of east from it, and the two ships are a nautical miles apart. The second ship is moving north. If the speed of the first ship is double that of the second ship, for the first ship to catch up with the second ship as quickly as possible, it should head in a direction of north of east by \_\_\_\_\_\_\_\_ (fill in the angle).

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