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The surveyor's bearing and distance values, known as "survey pairs", found in the record
of new roads, often use a notation and units not familiar to us 21^{st} century folks.
To acquaint you with the style of compass bearings and units of distance measure,
the following explanations and interactive calculators are offered.

The compass bearings found in town roadway surveys often use a format consisting of a letter followed by a numeric value followed by another letter. The format looks like this:

[NS]dd.d[EW]

The first portion being the letter 'N' or 'S'. The second portion is an angle between 0 and 90 degrees. The third and final portion is the letter 'E' or 'W'.

N15E | Starting at North, turn 15 degrees toward the East. The resulting angle is 15 degrees. |

S15E | Starting at South, turn 15 degrees toward the East. The resulting angle is 180 (South) minus 15 degrees equals 165 degrees. |

S15W | Starting at South, turn 15 degrees toward the West. The resulting angle is 180 (South) plus 15 degrees equals 195 degrees. |

N15W | Starting at North, turn 15 degrees toward the West. The resulting angle is 360 (North) minus 15 degrees equals 345 degrees. |

Ocassionally, when the direction is due (exactly) North, East, South, or West, the entry may simply be the letter 'N', 'E', 'S', or 'W' respectively.

Here are the resulting numeric angles: | |
---|---|

N | 0 or 360 degrees |

E | 90 degrees |

S | 180 degrees |

W | 270 degrees |

Here is an interactive calculator. Select North or South, East or West, and enter a numeric angle. It will convert that surveyor bearing to a numeric compass angle.

Convert angles from "DDD MM.mmmm" format to "DDD.dddd".

Enter the number of chains, rods, and links; the number of feet will be calculated.

Following are some tools useful in Microsoft Excel workbooks for making the bearing and distance conversions. First is a Visual Basic for Excel macro. Enter it into a macro sheet. Then on a worksheet cell, refer to this macro and three worksheet cells (or constants) containing the "NS", angle, and "EW" information. Second is a simple Excel formula for converting a distance in chains, rods, and links to feet.

Here is the Visual Basic macro for converting a surveyor bearing to a numeric value.

Option Explicit ' ' This is a collection of macros written for use on the Hartland Ancient Roads project. ' ' Macros and functions were written by Gary Trachier. ' ' ' Name: SurveyBearing2Angle ' ' Purpose: Converts a surveyor bearing of the form [NS]ddd.d[EW] to a decimal angle with 0 degrees at North. ' ' Revision history ' 28 June 2007 First written. ' Public Function SurveyBearing2Angle(ByVal ns As String, ByVal numericAngle As Single, ByVal ew As String) Const errNS = -1 ' error value for a problem with the NS parameter Const errNumeric = -2 ' error value for a problem with the numeric parameter Const errEW = -3 ' error value for a problem with the EW parameter Const errUntrapped = -99 ' error value for all miscellaneous errors ns = LCase(ns) ew = LCase(ew) If (ns <> "n" And ns <> "s") Then ' error-check the NS value SurveyBearing2Angle = errNS ' set the error return value Exit Function ' bail out End If If (ew <> "e" And ew <> "w") Then ' error-check the EW value SurveyBearing2Angle = errEW ' set the error return value Exit Function ' bail out End If If (numericAngle < 0 Or numericAngle > 90) Then ' error-check the numeric portion SurveyBearing2Angle = errNumeric ' set the error return value Exit Function ' bail out End If ' handle each quadrant separately for the calculation Select Case ns Case "n" Select Case ew Case "e" SurveyBearing2Angle = 0 + numericAngle Case "w" SurveyBearing2Angle = 360 - numericAngle Case Else SurveyBearing2Angle = errUntrapped End Select Case "s" Select Case ew Case "e" SurveyBearing2Angle = 180 - numericAngle Case "w" SurveyBearing2Angle = 180 + numericAngle Case Else SurveyBearing2Angle = errUntrapped End Select Case Else SurveyBearing2Angle = errUntrapped End Select End Function

Here is the Excel equation for converting a distance in chains, rods, and links to feet.

=(E4*4*16.5)+(F4*16.5)+(G4*16.5/25)