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Trigonometry Triumph -Hag 9 Mystery Cache

This cache has been archived.

cameracowgirl: Time to free up this area for others. Thanks, everyone!

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Hidden : 1/21/2013
Difficulty:
4 out of 5
Terrain:
3 out of 5

Size: Size:   regular (regular)

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Geocache Description:

This cache has been hidden for HAG 9

Watch for bears and other dangerous animals (read the logs from The Incredibles for more info). It's always best to cache with a buddy.


The cache is NOT at the posted co-ordinates. You will need to use your Super Natural knowledge of trigonometry to solve this puzzle. Why? Because the HAG theme this year is “Super Natural.” Also because I hid this cache after getting 100% on a unit test on trigonometry recently and I think that means that I must have super natural trigonometry skills, which is quite the triumph for me. After you triumph over this trigonometry exercise you will be rewarded with a triumphant hike up a hill that comes complete with a Super Natural view on the way to GZ, not to mention a cache that is filled with awesome swag. FTF prize: the coolest-looking scientific calculator that I have ever seen.

Cache is a medium sized L&L and is hidden at N 48 37.ABC W 123 37.DEF

One day, there was a fun caching event and the following teams of cachers were out in the forest looking for five new caches: bear cub mom and the family, Magicman65 and Angelcheeks, The Incredibles, Paulboy, and ClassicTwo.

Everybody started at the main trailhead, then they quickly dispersed to each find a cache. Magicman65 and Angelcheeks (and their geo-baby) got the FTF on the cache that was at the trailhead. Bear cub mom and the family (including panda bear cub, cubs 2, 3 and 4, the yet-to-be-named bear cub dad, and Ginger the geo-dog) went down the trail and searched GZ at the very end of it until they got the FTF on that cache. The Incredibles searched for another cache on the main trail and got the FTF on that one. ClassicTwo had gone northeast down a side-trail that led away from the trailhead to get the FTF on their cache. Paulboy had been naughty and had bushwacked to get his FTF. He was now northwest of bear cub mom’s caching team. Mrs. Incredibles’ GPS said that her cache was in-between bear cub mom’s cache, which was 873m east of her, and Magicman65’s cache, which was 721m west of her. She also noticed that the placement of those three caches was so perfect that they formed a straight line. Magicman65 noticed that there was a distance of 798m between his cache and ClassicTwo’s cache, and that from where he stood there was an angle of 59.43777267 degrees between ClassicTwo and The Incredibles (he’s very precise about these things, you know). Panda bear cub had just finished taking a math course and noticed that from where their team’s cache was that there was a 60.30277261 degree angle between Paulboy’s cache and The Incredibles’ cache. Meanwhile, Paulboy’s GPS said that if he wanted to also get the cache that bear cub mom found, he would have to bushwhack 782m southeast. Unfortunately, the batteries in Paulboy’s GPS suddenly died and he had forgotten to bring spares with him. He could no longer see the trail that he had blazed and he is lost. Fortunately, he could see a glimpse of ClassicTwo in the distance. How many metres west does Paulboy have to bushwhack to get to ClassicTwo’s cache? Be as precise as Magicman65 and avoid rounding your answers when doing your math. The distance from Paulboy to ClassicTwo is ABC. You will notice that there may be some decimals after ABC, but they should be ignored, since your GPS isn’t as accurate as your math skills.

The following week, the cacheketeers were out hiding a cache series based on vague hints. First they hid a cache in a log, and then moved east to hide a cache in a stump. The tracks on JoPo2010’s GPS said that they moved 293m between the two caches. They then followed a southwesterly trail and hid a cache at the base of a tree. Suddenly SoobaxM realized that she forgot to put a pencil in the cache container at the stump, so she went back to that cache while the other cacheketeers moved southeast down another trail and hid a cache under a rockpile. Sheesh695, who was feeling a little competitive with JoPo2010 showed off how accurate the tracks were on her GPS by pointed out that they had moved 346m to get from the tree to the rockpile. Porchlizard had developed some excellent math skills recently and piped up and said that she had calculated that there must be a 56.9236218 degree angle between the tree and the stump for cachers who stand at the log. Duncan01 said that she had calculated that there was a 86.89912668 degree angle between the stump and the rockpile when she was standing at the tree. At this point in time, SoobaxM was concerned that there might be proximity issues between the log and the tree so she checked her GPS and noticed that there was a distance of 225m between the two. This was good news, but unfortunately SoobaxM was so engrossed in her mathematical pursuits that she tripped over the stump and fell. She called out (very loudly) to Diraduck to come and give her first aid. There is a direct trail between the rockpile and the stump so Diraduck can get to SoobaxM quickly. How many metres does Diraduck have to go along the trail to get to SoobaxM? Your answer is DEF

You can check your answers for this puzzle on GeoChecker.com.

The geochecker has been set to "fuzzy" to accomodate those pesky decimals.

Additional Hints (Decrypt)

Va ynetr oehfu cvyr. Qba'g lbh jvfu lbh xarj juvpu uvqrl ubyr?

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)