by taswegian » Wed 09 May, 2018 1:32 pm
At least a sextant won't run out of batteries or suffer electronic failure.
There's several old, tried and true ways to work out distances.
But as others mentioned, we've lost (generally) that ability to appreciate those natural abilities once embedded (from necessity) in the human syche.
Some useful things are
Hold your hand at arm's length:
The width of your little finger is about one degree—enough to cover the moon and sun, both of which are each half a degree across.
The width of the first three fingers side-by-side spans about five degrees.
A closed fist is about ten degrees.
If you spread out your fingers, the distance from the tip of your first finger to the tip of your little finger is 15 degrees.
If you spread out your fingers, the distance from little finger to thumb covers about 25 degrees of sky.
Two fingers, say 30mm wide, at arms length, say 800 mm subtended (cover) about 38 metres at a km, fatter fingers @45mm would push that to 56 metres.
Early explorers etc, would read compass bearings to prominent peaks, rock outcrops, natural features obvious from several locations, and then can with reasonable estimate of distances work out where they are on their progressive map.
Checked with sextant, walking time etc could give some relative and reasonable accuracy.
Horses probably had a more steady and predictable gait to humans and distances travelled could be better ascertained.
Hills etc not to be discounted.
Heights of lone trees would be a fixed height but a mathematical calculation for the ever changing distance as an equation of the subtended angle observed top to base.
Their relative reasonable accuracy would no doubt differ with our fast paced life where we now split seconds to 100ths to time events and worry because mail takes 3 days instead of 1.