
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
The geographical latitude of London is $51^{\circ} 20^{\prime} 49^{\prime \prime}$; its longitude east from Ferro is $17^{\circ} 34^{\prime} 15^{\prime \prime}$. The latitude of Rome is $41^{\circ} 53^{\prime} 54^{\prime \prime}$, and its longitude from the same point is $30^{\circ} 8^{\prime} 48^{\prime \prime}$. What is the distance between these two locations if we assume the Earth is a perfect sphere?

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