A:Answer Hi, Tony,
I hope your figured your answer out by now, but in case anyone else is wondering about the same question, I thought I'd post something. Unfortunately your pic doesn't show the label of the output, so it's hard to be specific. If the output is labeled "SubWoofer Out" or similar, it should work. You wouldn't connect a subwoofer to an input. The manual can be found at Polk Audio's website: http://global.polkaudio.com/en/Media/POLK/Product%20Manuals/PSW10_12_MN.pdf
The manual covers both the 10 and 12 inch models, so be careful to only follow the guides for the PSW10.
If your TV has a "Subwoofer Out", the instructions state:
"OPTION #1—
Receivers that include a “Sub Out” feature—the most common hookup method with
Dolby® Digital receivers.
PSW10—
NOTE: The PSW10 subwoofer does not have an LFE input. Instead, use either the
L or R Line input (another hookup option is to use a Y-split cable and connect both
L and R Line inputs). After you make this Sub Out connection, turn the "Low Pass"
filter fully clockwise. This will in effect create an LFE input"
What this means is run an audio cable from the Sub Out to either the R or L in on the speaker. It doesn't really matter since low frequency sounds are non-directional, which is why you can place the subwoofer away from the other speakers.