Help on question 4,5,6

Table 1: Coordinate Values olub N (m) 7524798.964 7524756.418 7524759.416 E (m) 2571628.112 2571603.148 2571663.989 H(m) 53.798 21.455 39.671 Coordinate Sketch 7524805 A 7524800 7524795 a 7524790 7524785 7524780 7524775 7524770 7524765 7524760 b C 7524755 B 7524750 2571600 2571610 2571620 2571630 2571640 2571650 2571660 2571670 Figure 1: Coordinate Sketch Using the coordinates for points A, B, and C provided in Table 1 and plotted in Figure 1, answer the following questions: 1) What type of coordinate system is being used here? Be as specific as possible. 2) Compare and contrast 3D from 1+2D coordinate systems. Is there any way to distinguish which type these are (3D or 1+2D) with the information provided? 3) What is the planar approximation? Can we safely make use of the planar approximation in this case? Validate your answer with numerical proof. 4) Calculate the following azimuths and present them in DMS (rounded to the nearest arcsecond): AAB, ABC, ACA, ACB 5) Calculate the following slope distances (hint: the distance equation shown in lecture slides is for the 2D case!): SAB, SBC, SCA 6) Calculate the internal angles a, b, and C as shown in Figure 1 and present them in DMS, Decimal Degrees, and Radians. Table 1: Coordinate Values olub N (m) 7524798.964 7524756.418 7524759.416 E (m) 2571628.112 2571603.148 2571663.989 H(m) 53.798 21.455 39.671 Coordinate Sketch 7524805 A 7524800 7524795 a 7524790 7524785 7524780 7524775 7524770 7524765 7524760 b C 7524755 B 7524750 2571600 2571610 2571620 2571630 2571640 2571650 2571660 2571670 Figure 1: Coordinate Sketch Using the coordinates for points A, B, and C provided in Table 1 and plotted in Figure 1, answer the following questions: 1) What type of coordinate system is being used here? Be as specific as possible. 2) Compare and contrast 3D from 1+2D coordinate systems. Is there any way to distinguish which type these are (3D or 1+2D) with the information provided? 3) What is the planar approximation? Can we safely make use of the planar approximation in this case? Validate your answer with numerical proof. 4) Calculate the following azimuths and present them in DMS (rounded to the nearest arcsecond): AAB, ABC, ACA, ACB 5) Calculate the following slope distances (hint: the distance equation shown in lecture slides is for the 2D case!): SAB, SBC, SCA 6) Calculate the internal angles a, b, and C as shown in Figure 1 and present them in DMS, Decimal Degrees, and Radians