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. Tangent
Ratio – (visit link)
The tangent of an angle
is the ratio of the length of the opposite side to the length of
the adjacent side
b. Law of
Sines - (visit
link)
In trigonometry, the law of sines (also known as the sine law, sine
formula, or sine rule) is an equation relating the lengths of the
sides of an arbitrary triangle to the sines of its angles.
According to the law, where a, b, and c are the lengths of the
sides of a triangle, and A, B, and C are the opposite angles
SO that: a / Sin >A = b / Sin >B = c / Sin
>C
THE PUZZLE
PROBLEMS
A. Tangent Ratio
Bill’s GPSr is reading that the cache he
seeks is 50 ft. away, but he stands at the foot of a big cliff.
Bill knows he can calculate the height of the cliff if he knows the
angle to the summit. He pulls out his clinometer app on his iPod
and stares at the top of the cliff. He reads an angel of 84.448
degrees. That’s a tall cliff. How tall is
it?
See The
Diagram
Let ‘n’ be
the height of the cliff, where the true cache coordinates are N
49.46.n
NOTE: ROUND THE DECIMAL
DOWN
B. Law of Sines
Bill and Bob are heading for the same cache to get
the FTF, but who will get their first? (assuming they move at the
same speed)
Both Bill and Bob are on the same line of longitude, but the angle
between Bill and the cache is 29 degrees, while the angle between
Bob and the cache is only 12 degrees. Bill is 409.44 ft away from
the cache. How far is Bob from the cache?
See The Diagram
Let
‘w’ be how far bob is away from the cache, where the
true cache coordinates are W 094.20.w
NOTE: ROUND THE
DECIMAL DOWN
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!
