
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 sails 15 miles in a straight line from point A to point B, then makes a turn anywhere between \(60^\circ\) and \(90^\circ\), and then sails another 25 miles to reach point C. Calculate the square of the distance from A to C, denoted as \(AC^2\).
A) \([400, 500]\)
B) \([500, 700]\)
C) \([700, 850]\)
D) \([450, 850]\)

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