fighting behind a corner, ranged and cover


Rules Questions

Liberty's Edge

Scene:

x = empty space
P = PC (move speed 30')
B = Barrel/Furniture (+2ac partial cover, difficult terrain)
M = Monsters with Crossbows

xxxx
xxxx
xxxx
xxxx
PPPP
xxxxxxxxBM
xxxxxxxxBM

If a PC decides to hide around a corner, and fire with their ranged weapons or spells, how much cover would they get?
Do they have line of sight on the Monsters?
Can they even fire around the corner?
Would they need shot on the run to even make this attempt?

Grand Lodge

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In your scenario, just numbering the PCs:

xxxx
xxxx
xxxx
xxxx
1234
xxxxxxxxBM
xxxxxxxxBM

edit: PCs 3 and 4 have normal cover from both monsters, have line of sight to them and can fire at them.

I suggest the PCs shouldn't give soft cover to each other here as the monsters would be just as happy to hit the cover, so PCs 1 and 2 have cover from the northernmost M but are exposed to the other one.

If they take cover as you might have intended:
xxxx
xxxx
xxxx
12xx
xx34
xxxxxxxxBM
xxxxxxxxBM

All have normal cover against the monsters (2 probably has total cover against the northernmost M)
All have line of sight to at least one monster
All can shoot at least one monster but monsters have normal cover against 1 and 2
They don't need Shot on the Run

or they can take total cover if they prefer:
xxx1
xxx2
xxx3
xxx4
xxxx
xxxxxxxxBM
xxxxxxxxBM

which makes the answers to your other questions No, No and Yes, and that's my final offer.

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