
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 sailboat is moving parallel to the shore at a distance of 200 meters on Lake Balaton. Someone wants to swim towards the approaching boat in a straight line. At what angle relative to the shore should the swimmer start swimming if the boat's speed is $15 \mathrm{~km} / \mathrm{h}$, the swimmer's speed is $2 \mathrm{~km} / \mathrm{h}$, and at the start, the boat is measured to be $2 \mathrm{~km}$ away from the swimmer along the shore?

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