
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
Given a fixed globe, we are positioned far enough from it that when viewing Valparaiso city (Chile, latitude $33^{\circ} 10'$ S, longitude $71^{\circ} 35'$ W), Szombathely, and the center of the globe align on a straight line. In which meridian plane is our eye located? What angle does this line make with the plane of the globe's equator?

How does the answer change if we consider Székesfehérvár instead of Szombathely?

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