Eureka #11: Totally Irrational Mystery Cache

This is a mystery cache. The listed coordinates are NOT for the final cache. You must solve the puzzle below to determine the final coordinates. You need to make a keen observation outside your normal frame of reference and decipher the coordinates below. The final coordinates are within 2.5 miles of the listed coordinates.

Consider the following list of sentences. Each sentence contains a hidden element. Together, the elements from each sentence will form an obvious pattern or connection to a common theme. To solve this puzzle, you need to:

• Discover the hidden elements in the sentences below and deduce the theme that binds those elements together.
• Determine the missing element and using that element as a basis, decipher the coordinates below.

1. The stage hands were the first to find the emergency exit.
2. She talked and talked about nothing but mystery novels.
3. Every paraplegic aches to walk again under their own power.
4. Each missile was housed inside a deep silo north of Offut AFB.
5. The talent show included several age-old dance acts.
6. Both ankles have to be taped before each game.
7. Democrats did not want to freeze tax rates in an election year.
8. Most authors are outwardly egocentric and proud of it.
9. Even with dry clothes on, we still felt chilled.
10. Her scalp has developed a dry itchy rash.
11. Later, after thirty painful push-ups, I “longed” for a long nap.
12. His luck apparently ran out when he rolled that last seven.
13. Locals started to riot after the touchy incident at ground zero.
14. That USDA choice leg of lamb dangled from Fido’s mouth.
15. The beast let out a deep sigh and vanished into the night.
16. The defendant replied: “I am innocent your honor”
17. The lab tech measured the width to be exactly two microns.
18. An amalgam made of Ag and Hg is used in most dental fillings.
19. You must be a math whiz to solve that puzzle.
20. The third keynote address introduced the six sigma quality model.
21. The weather prediction model takes two hours to compute.
22. Memphis is the home of traditional southern BBQ.
23. UCLA home games are played in the Rose bowl.

The missing element should lead you to a straightforward and unambiguous way to decode the following coordinates.

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

Please be careful with the camo and replace the cache as found.