SOLUTION: Latitude presents special mathematical considerations for cartographers. Latitude is the north-south location on the earth between the equator and the poles. Since the earth flatte
Algebra.Com
Question 40736: Latitude presents special mathematical considerations for cartographers. Latitude is the north-south location on the earth between the equator and the poles. Since the earth flattens slightly at the poles, a nautical mile varies with latitude. A nautical mile is given by N(e) = 6066 - 31 * cosine 2e. e represents the latitude in degrees.
•What is the length of a British nautical mile at Chicago (latitude of 42 degrees)?
•What is the length of a British nautical mile at the North Pole (latitude of 90 degrees)?
•Express N(e) in terms of cosine e only, do not use the double angle.
•At what latitude north is the length of a British nautical mile found to be 6040 feet?
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
Chicago (42degrees):
N(e) = 6062.76 feet
North Pole (90 degrees):
N(e) = 6097 feet
TRIG IDENTITY:
so we then get:
When nautical mile = 6040feet:
2e = 33 degrees to 2significant places
--> e = 33/2
--> e = 16.5 degrees latitide
jon.
RELATED QUESTIONS
A planet rotates on an axis through its poles and 1 revolution takes 1 day​ (1 day is... (answered by ikleyn)
I have this question for a trig test and never seen anything like this in class before.... (answered by lwsshak3)
Find the distance between Denver, CO and Roswell, NM which lie on the same longitude. The (answered by lwsshak3)
Latitude gives the measure of the central angle (vertex at center of earth) whose initial (answered by Theo)
What is the distance along the earth’s surface between the North Pole and a point at 60°... (answered by macston)
The latitude of Wilson, Wyoming, is 43.6 degrees north of the equator. If the diameter of (answered by ankor@dixie-net.com)
The latitude of Cambridge is 42.4 degrees north of the equator. If the diameter of the... (answered by richwmiller)
A certain town is at a latitude of 35.2 degrees N. Find the distance in miles from the... (answered by Alan3354)
a ship sails from latitude 40° N. on a course N.E. 26 mi. find the difference of... (answered by Alan3354)