One Degree Latitude, Longitude: How Many Miles?Date: 04/02/2002 at 09:18:42 From: Nick Subject: Longitude, latitude In the states of Kansas and Oklahoma, approximately how many miles are there in one degree of longitude and one degree of latitude? Date: 04/02/2002 at 09:30:42 From: Doctor Mitteldorf Subject: Re: Longitude, latitude A degree of latitude is the same all over the earth. It is 1/360 of the circumference of the earth, and you can look up the radius of the earth at this Web site, then multiply by 2pi: Earth: Geodetic and Geophysical Data - JPL/SSD http://ssd.jpl.nasa.gov/phys_props_earth.html [Disclaimer: The geoid is an ellipsoidal form, so a degree of latitude centered on the equator is not the same length as one degree of longitude along the equator. The difference is small enough to ignore for many applications, however. Thanks to James Jacobs for pointing this out.] Degrees of longitude are the same size as latitude at the equator, but they get smaller and smaller as you go toward the pole. At the pole, the size of a degree of longitude becomes zero. The relation between latitude and the size of a degree of longitude is called a "cosine" function, from trigonometry. The latitude of Oklahoma is about 34 degrees north, and the cosine of that angle is 0.83. This means that adegree of longitude in Oklahoma is about 0.83 times as great as a degree of latitude. - Doctor Mitteldorf, The Math Forum http://mathforum.org/dr.math/ |
Search the Dr. Math Library: |
[Privacy Policy] [Terms of Use]
Ask Dr. Math^{TM}
© 1994-2013 The Math Forum
http://mathforum.org/dr.math/