The two cities Minneapolis, Minnesota, and Lake Charles, Louisiana, lie on the 93° W longitudinal line. The latitude of Minneapolis is 45° N (45° north of the equator) whereas the latitude of Lake Charles is 30° N. The radius of Earth is approximately 3960 mi.
a. Calculate the distance between the two cities.
b. Like hours, degrees can be divided into minutes and seconds for more precision. (There are 60 seconds in a minute and 60 minutes in a degree.) For example, 61° 10 means 61 degrees 10 minutes. Write this measurement as a decimal.

c. If you know the latitudes and longitudes of two cities, you can find the distance in miles between them, D, using this formula:

In the formula, r is the radius of Earth in miles, A and A are the latitude and longitude of city A in degrees, and B and B are the latitude and longitude of city B in degrees. North and east are considered positive angles, and south and west are considered negative. Using this formula, find the distance between Anchorage, Alaska (61° 10' N, 150° 1' W), and Tucson, Arizona (32° 7' N , 110° 56' W).

Transcribed Image Text:

93 W Minneapolis, MN Lake Charles, LA Equator cos-1(sineA sinog +cos coso cos(4-)) 180