Little Johnny is back! Since his last stroll into the sunset,
Little Johnny has become interested in astronomy. He has been
reading a lot about the upcoming Transit of Venus and how it occurs
in pairs every 105 to 122 years. The last time anyone witnessed the
Transit was in 1882. In his life he will have two opportunities to
witness this event, the first on June 8, 2004 and again eight years
later on June 6, 2012. The next opportuntity after that won't be
until 2117.
Not wanting to miss his first chance he decides to watch the
transit from a primo spot that he knows about exactly 2 miles from
his aunt's home (coordinates above.) Coincidentally, this location
lies on the line (rounded to the nearest whole degree) from his
aunt's house to the spot at which the transit first becomes visible
in this area. In commemoration of the event Little Johnny has
decided to leave a microcache at his secret "observatory." Can you
find the secret spot and be the first to find Little Johnny's
latest cache?