This is a puzzle cache.
The cache container is NOT at the posted coordinates.
You can park at the posted coordinates, and from there, you
can find the true cache location on foot, but only after solving
the puzzle below.
This is a SOLVE FROM ANYWHERE
puzzle.
THE
ACCESS
Turn down Jones Road
off of Homestead Rd., heading west out of Kenora. What looks like
the driveway to a Weyerhaeuser Factory is actually a road that runs
far beyond the factory. You can turn onto this road @ N 49.46.756 W
094.22.207. Keep left while on this road (but not through the gates
into the factory parking). It will turn to gravel, and cross a
y-shaped set of tracks. Continue along the road to the listed
parking coordinates: N 49.46.558 W 094.21.195
THE
LESSONS
a. Pythagorean
Theorem - (visit
link)
Used when
given two sides of a right angle triangle to solve for the
third side.
a2 + b2 = c2 (where ‘c’ is the hypotenuse, and
‘a’ and ‘b’ are the legs of the
triangle)
b. Similar
Right-Triangles - (visit link)
Use the corresponding
ratio fractions to cross multiply and solve for the unknown
value.
Example:
The lines that make up similar triangles ABC and DEF can be
compared as a ratio so that; AB / DE = BC / EF = AC / DF
See example image in gallery - (visit link)
THE PUZZLE PROBLEMS
A. Pythagorean Theorm
moonsocket’s friend is out caching today.
He’s going for Part-3 in the Trig Series. The cache has a
terrain rating of 3, so he knows it’s going a be a little bit
of a climb, but not too bad. He parks his car, gets out, and
follows his GPS to the top. At the summit, he can see his car way
down below. He wonders just how far the car is away from him, by
his line of sight. He knows his math skills can help him find out
the answer. His GPS says he is 266 feet from his car, and up an
elevation of 481.4 feet.
Based on these numbers,
moonsocket’s friend can use Pythagorean Theorem to solve this
mystery. She imagines a right angle triangle, and solves for the
unknown length. You try. (see uploaded diagram).
** if anyone wants to
run this calc with real numbers from their #3 hunt, please share!
how far is that line of sight?? **
See The
Diagram
Let n be the line of sight distance form
moonsocket’s friend to the car.Where the true cache
coordinates are N 49.46.n
NOTE: ROUND TO THE
NEAREST WHOLE NUMBER.
B. Similar
Right-Triangles
moonsocket has hiked
for 3 hours into the bush to find a remote cache. Near the cache
location is a river that must be crossed. The cache is on an
Island. Moonsocket thinks he can swim it. When he gets close, his
batteries on his GPSr die out! Now what! How wide is this river?
How can I find out? Moonsocket knows.
Standing on the shore
of the river, He remembers a big boulder behind him, and notes it
was about 50 feet back on the trail. He marks his spot, and gets a
big long stick to measure the 50 feet from his spot to the boulder.
The distance is exactly 20 sticks long. Meaning one stick is 2.5
feet. Great. Not helpful except to measure in the
woods.
He measures 15 feet
along the shore line with his stick. He marks that location. He
than continues along the shore and finally marks a second location
he thinks it a good spot to swim from. This point is 59.4 feet from
the last point.. Now moonsocket can imagine and sketch two similar
triangles!!! (see his diagram.) He can use the rules of similar
triangles to calculate the distance across the river that he must
swim from the shore to reach that cache! (never mind how he will
get back out of the woods with his dead GPSr!).
See The
Diagram
Let ‘w’ be the length across the
river, Where the true cache coordinates are W
094.21.w
NOTE: ROUND
TO THE NEAREST WHOLE NUMBER.
TIPS AND
TOOLS:
CHECK YOUR ANSWER before you go out into the elements over at
Geochecker.com click here - (visit link)
REMEMBER TO GET YOUR DIPLOMA!
At each cache in the series, you will find very basic
knowledge questions on a neon yelllow card. Answer the
questions to obtain a set of coordinates. Solve all three
puzzles and find all three caches, and you will have collected the
coordiantes to the final cache, where you can pick up YOUR
‘Master Mathematician’ DIPLOMA! The Diploma Site
is: N1.N2.N3 / W1.W2.W3
GOOD
LUCK!
