The cache is not at the posted coordinates.
The coordinates above and the cache are at the same line of latitude. There's a special group of points on this line between the starting and final point where the cache is located. The first of these points is half way from the starting point to the final point. The second of these points is half way between the first point and the final point. Likewise the third of these points is again half way from the second point to the final point and so on.
If the distance from the starting point (S) to the final point is defined as D then the relative distance from S to these half way points H(n) would be as follows.
H1 = D/2
H2 = D/2 + D/4
H3 = D/2 + D/4 + D/8
H4 = D/2 + D/4 + D/8 + D/16
The following pair of coordinates define two points on this line. One of these two points is the starting point and the other is one of the many half way points.
N37° 21.379 W121° 55.691 N37° 21.379 W121° 54.278
Just use your powers of deduction to determine which one is which.
For a little different perspective about lines with infinite points like these google Zeno's dichotomy paradox. Use certitude
to validate your solution.
Puzzle Updated: 1/25/14