## EXERCISE 3 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.

(a)
Express the latitudes of City A and City B in decimal form.

(b)
Express the latitudes of City A and City B in radian form.

(c)
Find the distance between the two cities.

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:  [Trigonometry] [Back] [Next]
[Geometry] [Algebra] [Differential Equations]
[Calculus] [Complex Variables] [Matrix Algebra] S.O.S MATHematics home page

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard. Luis Valdez Sanchez
Tue Dec 3 15:03:31 MST 1996