(In reply to re: discussion
by Ady TZIDON)
a) right, I didn't explicitly state that r=rho, just that r was the radius of the earth, and that the web site to which I referred used rho as the radius of the sphere.
b) The only places where I put more than two places after the decimal was in the relative area/area of earth, where I guess I just went overboard in making up the USING clause of the PRINT USING, and in ".249 km, or .1509 miles or 797 feet" as the height from which to observe a curved horizon, under the assumptions given in the problem, where I didn't go into an analysis of what the errors might be, but did restrict to about 3 significant figures (4 for the one that begins with digit 1).
As an aside: it's interesting that the radius of the earth is least at the poles and greatest at the equator, but that makes the radius of curvature greatest at the poles and least at the equator.
Posted by Charlie
on 2006-01-30 09:25:45