I think I'll be a little out of my depth on this one. I'm reasonably confident that I could have done the calculations when I was at Peak Trigonometry towards the end of my very expensive secondary education aged about 17. The haversine formula is designed to calculate the distance between two points given their respective Latitude N/S and Longitude E/W. On flat surfaces you can do it with Pythagoras [a2 + b2 = h2] as the hypoteneuse of a triangle:
distance = sqrt[(lat1-lat2)2+(lon1-lon2)2].
For spherical trig it's more complicated:
a = sin²(Δφ/2) + cos φ1 ⋅ cos φ2 ⋅ sin²(Δλ/2)
c = 2 ⋅ atan2( √a, √(1−a) )
d = R ⋅ c
where φ is latitude, λ is longitude, R is earth’s radius. But that simplifies down to Pythagoras for local distances.
I didn't really want the haversine but rather the compass-bearing between two points given their respective Latitude and Longitude. Because we were up the hill again on Friday trying to clear some of the noxious invasive species to make the habitat more suitable for sheep and the other indigenous species of Dry Heath. I think it's correct to say that, without sheep, there would be no long-term dry heath, which is really a transition state between bog and forest . . . kept in suspended animation because the sheep eat all the tree shootlets and saplings. There's 200 hectares to clear which cannot be done in a year without hundreds of person days of work. And the whole project is a pilot study to determine what are feasible / efficient methods of achieving you aims: be that fencing, pest-control, habitat modification, saving wild-life, reducing the carbon-footprint, increasing income.
- 100cm technical-drawing T-square to point the phone more precisely on 249°
- a generous handful (we needed 9) of 180cm bamboos with red-&-white plastic bag strips as gonfalon (all the better to see you by)
- 600 m of "string" = electric fence wire [light, white and available
|Angle||Sin O/H||Tan O/A|