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1.
A nickname for Sitka, a small Southeast-Alaskan town.
Used by residents of Sitka themselves & also by Juneau Douglas High students who are overly full of team spirit.
"dude, living in Shitka is so fucking gay."

"WE ARE TOTALLY GONNA KICK SHITKA'S ASS IN THE BASKETBALL TOURNAMENT, MAN!"
by xxGeorgina January 21, 2007
 
2.
An annoying anti-aircraft vehicle (ZSU-23-4, a.k.a. Shilka) in Armed Assault 2 (ARMA 2), always manages to lock on and destroy your aircraft at the most annoying times. Can also be pronounced Shitkah or Shitcar.
"Alpha-One engage that skitka 12 o'clock low"
"Copy that Alpha-one, engaging, shit Im hit, I'm hit damn shitka!"
by ricochetKiller October 23, 2011
 
3.
A thin layered tissue, found in bathroom stalls, used as a barrier between the toliet seat and your ass.
Anita used the shitka to shield herself from the fecal matter on the toilet seat.
by Anita Blackman June 30, 2012