
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 map represents the polar cap from latitudes -45° to 90°. The pole (latitude 90°) is at the center of the map and lines of latitude on the globe are represented as concentric circles with radii proportional to \( (90° - \text{latitude}) \). How are east-west distances exaggerated compared to north-south distances on the map at a latitude of -30°?

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