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Using 60 m for the (projected) length of the plane, 33 minutes of arc
for the apparent diameter of the Sun (near perihelion), Latitude 48.783
degrees N and longitude 1.95 degrees E, I get the plane to be a slant
distance of 36 km, or 34 km distant at an altitude of 37,000 feet. The
plane is flying eastward, and perhaps someone will know if that is a
reasonable altitude under the circumstances.
Leigh
(The diameter and altitude of the Sun were found using Starry Night Pro.
I used the flat Earth approximation in this calculation, having already
given far too much time to it. Nonetheless, thanks, Stefan - a nice
problem, indeed.)