Design and create a MATLAB program for each problem below.

1.) Given point A and B on the parallel circle at a latitude of 421516. Point A has a longitude of 1214709 W and Point B has a longitude of 1193629 W. Compute the parallel circle distance between A and B on the sphere of radius 6,371,000 meters.

2.) Calculate the great circle distance between Points A and B in Problem 1. Note: The great circle trace between Point A and Point B is different than the arc traced by the parallel of latitude.

3.) Calculate the azimuths between points A and B using the data from Problems 1 and 2.

4.) Consider the spherical triangle formed in Problem 2. Compute the value for the spherical excess of the spherical triangle.

Please submit the MATLAB Algorithm of the solutions to the problems, and write the MATLAB program. Thank you!

Included Angle of North Spherical Triangle Pole Rotation Axis Co-latitude Sides of Spherical Triangle Plane of Parallel Trace of Point B Great Point A Circle Equator Plane Included Angle of North Spherical Triangle Pole Rotation Axis Co-latitude Sides of Spherical Triangle Plane of Parallel Trace of Point B Great Point A Circle Equator Plane