The Very Basics of Plotting
Bottom line: plotting involves converting field notes of direction & horizontal distance to lines on a map. Thus there are two factors to address:
direction
distance
Direction
Field notes have bearings recorded. To plot using a Douglas protractor: (click to expand/collapse)
place protractor over map sheet with N properly aligned (i.e. "N is up")
centre the the hole of the protractor over your starting point
mark the desired bearing at edge of protractor
draw a very light line to connect the two points
determine the map distance (see below) and draw the line segment
Distance
Converting slope distance (SD) to horizontal distance (HD)
For
those with no desire to understand how/why it works simply use the formula
HD = SD * COS (slope degrees)
For those who want to know why this works read the next few lines (click to expand/collapse)
why use COS? (click to expand/collapse)
COS is adjacent over hypotenuse ... or ... HD over SD
this means COS = HD "as a %" of SD ... COS is used to convert SD --> HD
i.e. if COS was 0.92 (or 92%), for every 100m slope we actually travel 92m horizontal
since we have SD, COS "converts it" to HD
Example: SD = 48m, slope=25, 14 degrees
HD = SD * COS(14 degrees) = 48m * COS (ArcTAN(0.28)) ...
working in steps:
(click to expand/collapse)
COS(14) = 0.970 (means that for every 100m slope we went 97.0m horizontal)
SD * 0.970 = 48m * 0.970 = 46.6m HD
Converting Field Measures to Map Measures
This is simply a "reduction exercise" as ground distances (m) are converted to map distances (cm) (click to expand/collapse)
This is a 2 step process (using the HD above and a map scale of 1: 2,000):
1) convert ground measures to cm (i.e. 46.6m --> 4660cm)
2) divide by the scale factor (4660cm / 2000 = 2.3cm)