Today I went up Ben Ime, which is a Munro (a hill of over 300ft / 914m). Ben Ime is 1011m high.
It was very clear, and from the summit to the north-west I could see what I thought was the Isle of Rum. It's the jagged peaks on the skyline in the picture below. I checked this on the map afterwards and it is certainly the right direction. Rum is 76 miles (122 km) from Ben Ime.
I also had excellent views of the other nearby hills. To the south I could see the Cobbler (884m).
To the east I could see Loch Lomond, Loch Arklet, Loch Katrine and Ben Ledi beyond.
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From the summit of Ben Ime I could also clearly see Ailsa Craig to the south. This is a distance of 71 miles (114 km) - almost as far as Rum.
Websites that calculate horizon distance from given altitudes can be found at www.ringbell.co.uk/info/hdist.htm and boatsafe.com/tools/horizon.htm though the results obtained are a bit different.
Possibly a more accurate method for calculation can be found at www.sailingissues.com/vier/mathproof2.html
All these sites show that seeing Rum from Ben Ime is well within the bounds of possibility.
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