Terry Pinnell said:Chris Blunt said:Dave Fawthrop said:<pedant mode>
Only if the sun is an *infinite* distance away.
That would only be true if the source was a single point of light, or
small in relation to the size of object it was illuminating. The sun
is not a single point source of light, its 1.4 million kms in
diameter.
Chris
But it's about 150 million km away! So to all intents and purposes, it
is a single point.
Um, no, not exactly. You can demonstrate this for yourself by going outside
and looking at the sun, and noticing that it appears to be a disk 30 arcminutes
(half a degree) in diameter, about the same size as the nail of your little
finger held at arm's length. Go out again later, when it's dark, and notice
that the stars (which are effectively point sources of light) look much
much smaller than the sun does.
If an object between you and the sun subtends an angle much larger than the
sun it will cast a sharp shadow. If it's close to the same angular size as
the sun (like an airplane flying at an altitude of several thousand feet)
it will cast a diffuse shadow, since it will block only a portion of the
sun's light. If it's an airliner at cruising altitude, it will appear to
be much smaller than the sun, and will not cast a visible shadow on the
ground.
If you can see a sharp shadow of an airplane in a Google Earth image, that
airplane is close to the ground. If you know the sun angle when the image
was taken, you can measure the distance between the image of the airplane
and its shadow and determine its altitude.
ljd