Solve Prob. 2.77 assuming that point A is located 25° north of west and that the barrel of the gun forms an angle of 30° with the horizontal. Problem 2.77: A gun is aimed at a point A located 20° west of north. Knowing that the barrel of the gun forms an angle of 35° with the horizontal and that the maximum recoil force is 180 lb, determine (a) The x, y, and z components of that force, (b) The values of the angles θx, θy, and θz that define the direction of the recoil force. (Assume that the x, y, and z axes are directed, respectively, east, up, and south.)