Assume that City A and City B are located on the same
meridian in the Northern hemisphere and that the earth is a sphere of
radius 4000 mi.
The latitudes of City A and City B are
and
, respectively.
Solution: For parts (a) and (b), proceed as in Exercise 2:
Similarly,
(c)
We use the Equation , where s is the distance along the
surface of the earth between the two cities, R is the radius of the
earth, and
is the central angle between the two cities, that
is, the difference in their latitudes. The distance between the two
cities is then: