We climbed Seat Sandal from Dunmail Raise up its north western shoulder. The first section is really steep. The map showed the contours spreading out, meaning not as steep. But how much better? We consulted the map. 200 metres of climbing in 1000m of ascent - that would be along the hypotenuse. Sine of the angle would be 200/1000 or 0.3. But how do you work out an arcsine half way up a mountain? Thanks to Emily for the phone!
I hung a plumb line as a reference for measuring the angle on the photograph. It's about 13 degrees. Go us!