
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 Ship B at a point A, with Ship B located to the north-east 60° direction from it, and the two ships are a nautical miles apart at point B. Ship B is moving north. If Ship A's speed is $\sqrt{3}$ times the speed of Ship B, then to catch up with Ship B as quickly as possible, Ship A should head in a direction of north-east \_\_\_\_\_\_ (fill in the angle).

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