The golfer at the above coordinates hits the ball with the
initial velocity (vector vi in the diagram) of 46.02 meters per
second at an angle 40.7° (represented by the angle theta) from the
ground. He hits the ball 40.367° West of true North. The ball soars
up into the air, meets with no obstructions, and miraculously
scores a hole in one!
The cache is hidden where the ball would initially strike the
ground for the hole in one!
Assume the terrain to be reasonably flat, and ignore the effects
of wind and air resistance on the ball when computing your
answer.
The cache itself is a micro container with a logsheet and room
for small trades, including some extra goodies for the first few
finders.
Good luck! And just maybe, you'll get a hole in one!
Thanks to Amy of MMNB for concept and artwork.