I recently got a 50" Roku TV and want to attempt to project the screen from the PC to the TV. Considering that the Roku TV can display it, is it possible to actually do this? I want to do this for both my PC games and my emulators so that people don't have to hunch around my PC if they want to play a game. Also, things are just more attention grabbing with a 50" screen than a 23"-27" monitor.
Also, I don't want a thick HDMI cable running across the room to try and do this. Hence, why I am looking into projecting the screen in some fashion.
Thanks in advance!

Thanks in advance!
CPU: Intel Core i5-4690k, OC'ed to 4.2 GHz
RAM: Kingston HyperX 16GB DDR3-1866
GPU: GTX 1080 Founders Edition
RAM: Kingston HyperX 16GB DDR3-1866
GPU: GTX 1080 Founders Edition