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## Isosceles 2: Hedwig's Roost

A cache by KingwoodGeo
Hidden : 1/14/2007
In Texas, United States
Difficulty:
Terrain:

Size:  (small)

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### Geocache Description:

The cache is on an oak tree. There is a photo of the tree in the picture gallery. The container only has space inside for a log and a pencil.

This cache is one of several in a series.

All of the caches in the series are puzzles that involve solving for the location of the apex of an isosceles triange. The base of the isoceles triangle is the line that connects two water towers in Kingwood.

Tower #1 is located on Kingwood Drive near East End Park.
Its coordinates are: 30° 3.5293 -95° 9.3855
UTM coordinates: X= 292115 Y=3327263

Tower #2 is located on Woodland Hills Drive near the High School Agricultural Sciences Barn.
Its coordinates are: 30° 1.9972 -95° 13.0668
UTM coordinates: X= 286144 Y=3324545

The cache is located on the south side of the water tower baseline. The "height" of the triangle from the center of the baseline to the cache is 4226 meters.

The puzzle can be solved mathematically or graphically using Google Earth or another mapping program.

To do it graphically, you need to construct a line passing through the midpoint of the triangle base at a 90 degree angle to the baseline. This is done by creating two points that are the same distance from each water tower. Make one point at the center of the baseline and another point about 6 kilometers south of the baseline. Connect the two points you've created. The cache will be found at the point on this line that is 4226 meters from the triangle base. Google Earth allows you to keep track of one line and one path in its Measuring tool, and you can mark points for later reference. This is sufficient to solve the problem.

Hfr uggc://jjj.wrrrc.pbz/qrgnvyf/pbbeq/ gb genafsbez pbbeqvangrf orgjrra YngYba naq HGZ zrgref. (Vs gung qbrf abg jbex, gel hfvat lbhe TCF nf n pnyphyngbe ol fjvgpuvat lbhe TCF orgjrra qrpvzny zvahgrf naq HGZ. Perngr n jnlcbvag va bar flfgrz, gura punatr gur flfgrz naq ivrj gur jnlcbvag qrgnvyf va gur bgure flfgrz. Irel pyhaxl, ohg vg qbrf gur wbo.)

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.

### Bookmark Lists

Find...

• The CacheThis is the cache. The camo makes it tough to spot unless you know what you're looking for.
• The cache in place, view toward NorthThis is the cache container in position. The camo makes it tough to find unless you know what you're looking for.

### 35 Logged Visits

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**Warning! Spoilers may be included in the descriptions or links.