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Trigonometry Trail (Auckland) Multi-cache

This cache has been archived.

Curglaff: As there's been no cache to find for months, I'm archiving it to keep it from continually showing up in search lists, and to prevent it from blocking other cache placements. If you wish to repair/replace the cache sometime in the future, just contact us (by email), and assuming it meets the guidelines, we'll be happy to unarchive it.

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Hidden : 10/15/2005
Difficulty:
3.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   regular (regular)

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Geocache Description:

The object of this geocache is to solve the 2 trigonometry puzzles to complete the triangle ABC, and so find the cache hidden at point C.

All co-ordinates on the Trigonometry Trail are 36° South and 174° East.

Point A is the initial waypoint at which you will find a number. Take care, there are several to choose from, but it is patently obvious which one to use.

Place this number in the diagram on the right (not to scale) to determine the co-ordinates of Point B.



At Point B there is a small clear container in which you will find the values for theta and x.

These will enable you to find the cache at Point C using the diagram on the left (not to scale but orientation is correct), the information you already have and your GPSr.

It is not necessary to calculate location co-ordinates for point C.

Although these calculations assume a flat surface (Euclidian or plane geometry), rather than a curved globe, the distances involved here are too small for any correction to be required given the typical GPS accuracy. If your trigonometry is a bit rusty, you may like to have a brush up here. The cache is a 1L clear container with some swap items and log book.

Additional Hints (Decrypt)

[Point B] fvar ehyr naq ebbgf [Point C] fvar ehyr be pbfvar ehyr naq ybtf

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)