*Image*
As far as the dispute over straight lines goes, speaking from a RE perspective, Jane is correct.
There aren't any straight lines when following the surface of a spheroid. Only arcs.
Usually, a straight line would be following one of these arcs. (In RE thought.)
As far as the math goes, Jane is also correct enough.
My math worked out to 24.4368338968 minutes.
I'm not sure who is more correct, I would guess Jane, as I used Pythagoras' Theorem. I would assume some well executed trigonometry would be a bit more accurate, and it also depends on the accuracy of the input figures. I'm not sure the method Jane used to come up with her number.
I would say with certainty that the number is somewhere around 24 minutes. 5 is not correct - that much can be said for sure.
Earth r - 150 = 20903370 ft. (a)
Earth r = 20903520 ft. (c)
a
2 + b
2 = c
2436950877356900 + b
2 = 436957148390400
436957148390400 - 436950877356900 = b
2 = 6271033500
20903370 + 79189.85730508674177125 = 20903520
32 knots = 54.0099 ft/s
79189.85730508674177125 / 54.0099 = 1466.21003381 seconds.
1466.21003381 / 60 =
24.4368338968 minutes.