
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 departs from south of island A at point B, heading due north at a speed of 4 km/h, with AB equal to 10 km. Simultaneously, another ship leaves island A heading north-northeast at a 60° angle relative to due north at a speed of 6 km/h. Find the time (t) it takes for the two ships to be at the shortest distance from each other.

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