Please show work 4. Calculate the approximate number of meters in one degree of
ID: 801596 • Letter: P
Question
Please show work 4. Calculate the approximate number of meters in one degree of latitude and the number of meters in one degree of longitude given your location is at the equator. 5. Now using part of your answer to problem 4, calculate the approximate number of meters in one degree of longitude a 21° of latitude. Recall that the length of a degree of longitude varies with latitudes since meridians converge at the poles. Draw on your knowledge of the geometry of the earth and trigonometry to come to the solution.Explanation / Answer
4) Distance in one degree of latitude
= R theta
= 6378 km *1 degree pi/180 degree becauseequatorial radius is 6378m
= 111.317 km
= 111317 m
Distance in one degree of longitude
= R theta
= 6378 km *1 degree 2pi/360 degree because equatorial radius is 6378m
= 111.317 km
= 111317 m
5) Distance in one degree of longitude
= R theta
Since radius at 21 degree latitude can be taken as 6378-(6378-6356)*21/90 =
= 6372.86 km *1 degree 2pi/360 degree
= 111.227km
=111227 m