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 tex2html_wrap_inline109 and tex2html_wrap_inline111 , respectively.

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

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

Find the distance between the two cities.

Solution: For parts (a) and (b), proceed as in Exercise 2:



Similarly, tex2html_wrap_inline113

(c) We use the Equation tex2html_wrap_inline115 , where s is the distance along the surface of the earth between the two cities, R is the radius of the earth, and tex2html_wrap_inline121 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

Copyright 1999-2023 MathMedics, LLC. All rights reserved.
Contact us
Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA
users online during the last hour