Objective: Design and create a MATLAB program that solve the problems 3.1 - 3.4 Instruction of delivery: Part I: Algorithm. Develop an algorithm of the solutions to problems. Namely, the algorithm of the MATLAB program you designed. (Save either in Word Document or PDF file) Part II: Write the MATLAB program from Part I. (All m-files you create) Problem 3.1: Given point A and B on the parallel circle at a latitude of 4215'16". Point A has a longitude of 12147'09" W and Point B has a longitude of 119036'29" W. Compute the parallel circle distance between A and B on the sphere of radius 6,371,000 meters Problem 3.2: Calculate the great circle distance between Points A and B in Problem 3.1. Note The great circle trace between Point A and Point B is different than the arc traced by the parallel of latitude Problem 3.3: Calculate the azimuths between points A and B using the data from Problems 3.1 and 3.2 Problem 3.4: Consider the spherical triangle formed in Problem 3.2. Compute the value for the spherical excess of the spherical triangle AX-Included Angie of Spherical Triangle North Pole Rotation Axis Co-latitude Sides of Spherical Triangle Plane of Parallel Trace of Point B Great Point A Circle Bquator Plane