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## Do You Know Trigonometry? #3

A cache by moonsocket
Hidden : 8/10/2010
Difficulty:
Terrain:

Size:  (small)

#### Watch

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### Geocache Description:

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

Apply what you've learned from doing the first two caches in the series. If you have not done them.. ..well, you've got a big learning curve ahead..

THE PUZZLE PROBLEM

There is a cache that rests up a small pine, near the very top. Bill and Bob want to find out how far up the tree the cache is, and also, how far they are from the tree with the cache. They get out their clinometers for this one! Bill and Bob stand 284.065cm apart from one another. Bill looks at the cache with his clinometer and reads an angle for 47.885 degrees. Bob, who is 284.065cm further back from the tree, reads and angle of 35 degrees to the cache. How far is Bill from the Tree in centimeters? And how high up the tree is the cache, in centimeters?

See the Diagram ( by no means to scale!)

Let ‘n’ be the height of the cache in the tree. Let ‘w’ be Bills distance from the tree.
Where the true cache coordinates are N 49.46.n / W 094.20.w

TIPS AND TOOLS:

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!

[Puzzle]
ZRTN UVAGF!
1. fbyir nyy gur natyrf ba gur zber boghfr gevnatyr, gur bar ba gur evtug unaq fvqr bs gur qvntenz.(n gevnatyrf guerr natyrf nyjnlf fhz gb 180-qrterrf).
2. Gura, hfr fvar engvbf (frr pnpur #2) gb fbyir sbe gur haxabja fvqrf, (fcrpvsvpnyyl, lbh bayl arrq gur fvqr gung vf gur ulcbgrahfr bs gur evtug-natyrq gevnatyr).
3. Hfr gung ulcbgrahfr inyhr, naq gur arprffnel gevtbabzrgevp shapgvbaf gb fbyir sbe gur haxabja fvqrf bs gur evtug gevnatyr, a naq j.

[Cache] ""gur ovttrfg yvy ebpx hc gurer.""

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)

### Inventory

There are no Trackables in this cache.

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### 21 Logged Visits

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