We have that Jake discovers they are in Mexico City by
Reading a Map
From the question we are told that
Jake discovers they are in Mexico City by
Generally
Mexico City
This is a city located in the South american continent of the earth and Possess a versed land mass of about 1,485km^2
And it is Populated or occupied by about 9 million Plus humans
Therefore
This is the Reason Jack needed to find out where he was because of the versed land mass.
Hence
Jack  discovered that they are in Mexico City by Reading a Map
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