Given the coordinates of 9 points, calculate the uncorrected coordinates.

Question

ScanSolve AI Tutor · Accepted Answer

To calculate the uncorrelated coordinates ( $\Delta$ N and $\Delta$ E), we find the difference in Northing and Easting between consecutive stations.

The formulas are:

\Delta N = N_{\text{next}} - N_{\text{current}}

\Delta E = E_{\text{next}} - E_{\text{current}}

Calculate $\Delta$ N and $\Delta$ E for segment A to B.
Given:
$N_A = 31276.100$ , $E_A = 51829.700$
$N_B = 31589.500$ , $E_B = 51900.300$
$\Delta N_{AB} = 31589.500 - 31276.100 = 313.400$ $\Delta E_{AB} = 51900.300 - 51829.700 = 70.600$
Calculate $\Delta$ N and $\Delta$ E for segment B to C.
Given:
$N_B = 31589.500$ , $E_B = 51900.300$
$N_C = 31519.200$ , $E_C = 53096.700$
$\Delta N_{BC} = 31519.200 - 31589.500 = -70.300$ $\Delta E_{BC} = 53096.700 - 51900.300 = 1196.400$
Calculate $\Delta$ N and $\Delta$ E for segment C to D.
Given:
$N_C = 31519.200$ , $E_C = 53096.700$
$N_D = 31226.900$ , $E_D = 52037.400$
$\Delta N_{CD} = 31226.900 - 31519.200 = -292.300$ $\Delta E_{CD} = 52037.400 - 53096.700 = -1059.300$
Complete the table with the calculated uncorrelated coordinates.
The $\Delta$ N and $\Delta$ E values for each row correspond to the segment starting from that station.
$\begin{array}{|c|c|c|c|c|c|} \hline \text{station} & \text{Northing} & \text{Easting} & \Delta N & \Delta E & \text{bearing} \\ \hline \text{A} & 31276.100 & 51829.700 & 313.400 & 70.600 & \\ \text{B} & 31589.500 & 51900.300 & -70.300 & 1196.400 & \\ \text{C} & 31519.200 & 53096.700 & -292.300 & -1059.300 & \\ \text{D} & 31226.900 & 52037.400 & & & \\ \hline \end{array}$
The completed table is:
$\boxed{ \begin{array}{|c|c|c|c|c|c|} \hline \text{station} & \text{Northing} & \text{Easting} & \Delta N & \Delta E & \text{bearing} \\ \hline \text{A} & 31276.100 & 51829.700 & \mathbf{313.400} & \mathbf{70.600} & \\ \text{B} & 31589.500 & 51900.300 & \mathbf{-70.300} & \mathbf{1196.400} & \\ \text{C} & 31519.200 & 53096.700 & \mathbf{-292.300} & \mathbf{-1059.300} & \\ \text{D} & 31226.900 & 52037.400 & & & \\ \hline \end{array} }$

Given the coordinates of 9 points, calculate the uncorrected coordinates.

Step-by-step solution

Calculate $\Delta$ N and $\Delta$ E for segment A to B.

Calculate $\Delta$ N and $\Delta$ E for segment B to C.

Calculate $\Delta$ N and $\Delta$ E for segment C to D.

Complete the table with the calculated uncorrelated coordinates.

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More Mathematics Questions

Given the coordinates of 9 points, calculate the uncorrected coordinates.

Step-by-step solution

Calculate Δ\DeltaΔN and Δ\DeltaΔE for segment A to B.

Calculate Δ\DeltaΔN and Δ\DeltaΔE for segment B to C.

Calculate Δ\DeltaΔN and Δ\DeltaΔE for segment C to D.

Complete the table with the calculated uncorrelated coordinates.

Still stuck on this one?

More Mathematics Questions

Calculate $\Delta$ N and $\Delta$ E for segment A to B.

Calculate $\Delta$ N and $\Delta$ E for segment B to C.

Calculate $\Delta$ N and $\Delta$ E for segment C to D.