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Magic Trig Mystery Cache

This cache has been archived.

fizzymagic: This has long been one of my favorites, but a real bear to maintain. It is gone now, exposed by a fire and presumably removed. The current location is not amenable to a re-hide, so we'll let this idea lie fallow for a while.

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Hidden : 6/6/2002
Difficulty:
4 out of 5
Terrain:
2 out of 5

Size: Size:   regular (regular)

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Geocache Description:

Calculate the main cache position in the same way your GPS calculates your position.

NOTE: The coordinates listed for this cache are NOT the coordinates of the main cache; they are the coordinates of the first satellite cache!

This cache consists of four "satellite" microcaches that are used to locate the main cache, just like your GPS does. You only need to find three satellites to calculate the main cache's position, but with more you can get a better fix!

The satellite locations are:

Number Location
1 N 37° 38.672' W 121° 46.929'
2 N 37° 41.715' W 121° 46.190'
3 N 37° 41.395' W 121° 43.513'
4 N 37° 40.347' W 121° 46.578


Each satellite contains a small card giving the distance to the main cache. No direction information is given!

Despite the cache name, no trigonometry is required to do the calculation. It only requires algebra and the Pythagorean theorem. In principle, you can get the answer from any 2 of the satellite caches; you get two possible positions for the main cache, and use common sense to rule one out. But it works best to use three satellites. If you find all four, you can check your result.

The main cache has a magic theme, because I am a magician. When the cache was placed, it contained:

  • Spooky Match Box Trick
  • Vanishing Coin Trick
  • Nickels to Dimes Trick
  • Poker-sized Tally Ho Cards
  • Logbook and Pen

This cache was inspired by a similar cache in Northern Virginia, You Are The GPS by Disquoi.

Additional Hints (Decrypt)

[Satellite #1:] Va n snyyra ybt. Oebja svyz pnavfgre. [Satellite #2:] Zntargvp. [Satellite #3:] Nggnpurq gb pbeare srapr cbfg nobhg 3 srrg nobir tebhaq. [Satellite #4:] Ng gur onfr bs n gerr.

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)