Isosceles: Arithmancy 101 Mystery Cache
KingwoodGeo: I have moved from the area and cannot check on the cache.
Isosceles: Arithmancy 101
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Difficulty:
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Terrain:
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Size: 
(small)
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This cache is a small plastic container attached with a magnet to a metal cross-brace. It is NOT at the posted coordinates. There is only a log in the cache.
This cache is one of several in a series.
All of the caches are puzzles that involve solving for the location of the apex of an isosceles triange. The base of the isosceles triangle is the line that connects two water towers in Kingwood. The cache is located at the apex that satisfies a condition that is specified below.
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 at the apex of an isosceles triangle located 4034.9 meters from both water towers. The cache is SOUTH of the baseline.
The cache is magnetically attached underneath a horizontal strut in a support pylon for the pedestrian walkway guard rail on the Lake Houston Parkway bridge.
Additional Hints
(Decrypt)
Na vfbfpryrf gevnatyr unf gjb fvqrf gung ner gur fnzr yratgu. Gur guveq fvqr vf pnyyrq gur onfr.
Gur ncrk bs na vfbfpryrf gevnatyr vf nyjnlf rknpgyl gur fnzr qvfgnapr sebz gur bgure gjb pbearef.
N yvar pbafgehpgrq ng 90 qrterrf gb gur onfryvar guebhtu gur zvqcbvag bs gur onfr jvyy cnff guebhtu nyy cbffvoyr fbyhgvbaf sbe vfbfpryrf gevnatyrf jvgu gung fcrpvsvp onfr.
Gur zvqcbvag bs nal yvar vf fvzcyl gur nirentr bs gur raqcbvag pbbeqvangrf.
Gur Clguntberna Gurberz eryngrf gur fvqr yratguf bs evtug gevnatyrf. Na vfbfpryrf gevnatyr pna or gubhtug bs nf n evtug gevnatyr wbvarq jvgu vgf zveebe vzntr nybat gur zvqcbvag ovfrpgbe yvar.
Nyy pnyphyngvbaf fubhyq or qbar va Havirefny Genafirefr Zrepngbe zrgref. 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.) Vtaber gur Rnegu'f pheingher sbe qvfgnaprf guvf pybfr.
Gur fybcr bs n yvar vf Z=(L1-L2)/(K1-K2)
Gur rdhngvba bs n yvar vf L=Fybcr * K + Vagreprcg
Gb fbyir sbe na vagreprcg, erjevgr gur yvar rdhngvba jvgu bayl L ba bar fvqr bs gur rdhnyf fvta naq fhofgvghgr gur inyhr bs gur fybcr naq gur K naq L bs n cbvag xabja gb yvr ba gur yvar.
Tvira n yvar bs fybcr Z, gur fybcr bs nal yvar crecraqvphyne gb gung yvar vf -1/Z
Treasures
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