
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
Typhoon "Haima" moves northward at a speed of 25 km/h. The observation station is located at point A on the sea. At 9 a.m., the typhoon's center was observed to be at point B, southeast of the station. At 10 a.m., the typhoon's center was observed to be at point C, in a south-southeast direction 75° from the station. At this time, the distance between the observation station and the typhoon's center, AC, is __________ km.

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