More measuring of distances at sea

I was wondering how far away the oil platform was moored off Cromaty when this cruise ship helpfully sailed in front of it. It was a Princess lines ship, most likely the Crown Princess, which claims to be 195 feet high. That is 63 metres high. It subtends about 0.25 of a degree as compared to my little finger or 0.0043 radians. Distance away = 63/0.0043 = 14.6km = 9 miles roughly. So maybe the best thing to say is that the rig was about 10 miles away. More on this later.