
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
Ship A observes that Ship B is in the direction of 60° east of north from its position at point A. The two ships are a nautical miles apart. Ship B is moving northward. If Ship A's speed is √3 times that of Ship B, Ship A must head in the direction of θ degrees east of north to catch up with Ship B as quickly as possible. Then, find the value of θ.

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