This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To calculate the uncorrelated coordinates (N and E), we find the difference in Northing and Easting between consecutive stations. The formulas are: N = N_next - N_current E = E_next - E_current Step 1: Calculate N and E for segment A to B. Given: N_A = 31276.100, E_A = 51829.700 N_B = 31589.500, E_B = 51900.300 N_AB = 31589.500 - 31276.100 = 313.400 E_AB = 51900.300 - 51829.700 = 70.600 Step 2: Calculate N and E for segment B to C. Given: N_B = 31589.500, E_B = 51900.300 N_C = 31519.200, E_C = 53096.700 N_BC = 31519.200 - 31589.500 = -70.300 E_BC = 53096.700 - 51900.300 = 1196.400 Step 3: Calculate N and E for segment C to D. Given: N_C = 31519.200, E_C = 53096.700 N_D = 31226.900, E_D = 52037.400 N_CD = 31226.900 - 31519.200 = -292.300 E_CD = 52037.400 - 53096.700 = -1059.300 Step 4: Complete the table with the calculated uncorrelated coordinates. The N and E values for each row correspond to the segment starting from that station. |c|c|c|c|c|c| station & Northing & Easting & N & E & bearing \\ A & 31276.100 & 51829.700 & 313.400 & 70.600 & \\ B & 31589.500 & 51900.300 & -70.300 & 1196.400 & \\ C & 31519.200 & 53096.700 & -292.300 & -1059.300 & \\ D & 31226.900 & 52037.400 & & & \\ The completed table is: |c|c|c|c|c|c| station & Northing & Easting & N & E & bearing \\ A & 31276.100 & 51829.700 & 313.400 & 70.600 & \\ B & 31589.500 & 51900.300 & -70.300 & 1196.400 & \\ C & 31519.200 & 53096.700 & -292.300 & -1059.300 & \\ D & 31226.900 & 52037.400 & & & \\ Drop the next question 📸