Will the GTX 1070 Ti SC GAMING ACX 3.0 FTW Work?

[mixc180]

I'm not too knowledgeable when it comes to the compatibility of systems for upgrades.
My current system is :
CPU: i7 6700k
CPU Cooling: Intel Stock Cooler
Motherboard: Asus Z170-A
GPU: Nvidia GTX 960
PSU: EVGA SuperNOVA 750B Bronze, 750W
Case: Corsair Graphite Series Mid-Sized (honestly not sure about the exact model)

I'm looking to upgrade to a GTX 1070 TI SC GAMING ACX 3.0 FTW GPU as well as upgrade my CPU cooler to the MasterAir MA620P Tuf Gaming Edition.

Will this work? I know my PSU can handle it, but I'm a bit worried about the compatibility and the space conflict between the GPU and CPU Cooler.

Thanks!

 

[nico.k]

Will work just fine if it's a normal sized tower case