Homework Set 3

Locate and print the data sheet from station Hayfield NE on the Penn State Wilkes-Barre Campus from the National Spatial Reference System. (f ~ 41°18'20"; l ~ 76°01'00")
Find the closest bench mark to Hayfield NE that is part of the National Spatial Reference System. What is the distance between the bench mark and Hayfield NE?
Approximately how much angular difference (in tenths of seconds) will exist between forward and back azimuths at a latitude of 50° between two stations separated in the east-west direction by 10,000 m? What causes this angular difference?
To within what tolerance should the elevations of two bench marks 50-km apart be established if first-order class I standards were used to set them? What should it be if second-order class II standards were used?
Compute the back azimuth of a line 4504.908 m long, at a mean latitude of 41°52'02", whose forward azimuth is 58°24'37.5" from north. Use the GRS80 ellipsoid.
The semi-major axis a of an ellipse is 6,378,136.49 m and its polar flattening is 1/298.256454. Compute the following ellipsoidal parameters: e, e', e and b.
Using the ellipse in Problem 6, what are the radius in the prime vertical and meridian at a latitude of 41°15'18.0000"? What is the radius at an azimuth of 53°20'36"?