
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 rescue boat is moored at point \( O \) on the shore of Lake Dongjiang (the shore can be viewed as a straight line). Suddenly, the cable breaks and the boat is blown away by the wind at a speed of \( 2.5 \mathrm{~km} / \mathrm{h} \) in a direction that makes an angle of \( 15^{\circ} \) with the shore. At the same time, a person starts chasing the boat from the same point on the shore. It is known that the person can run at a speed of \( 4 \mathrm{~km} / \mathrm{h} \) on the shore and swim at a speed of \( 2 \mathrm{~km} / \mathrm{h} \) in the water. Can the person catch up to the boat? If the boat’s speed changes, what is the maximum speed at which the boat can be for the person to still be able to catch it?

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