Hi all. Just re-strung my new strat and now the bridge is at about a 20 degree angle to the body. I know this has something to do with the trem but it seems it was seated closer to the body before I restrung. Is it a problem?
Sort of - it's not the end of the world if you like it that way, but it probably raised your action a bit, and you may not like that.
Did you put on heavier strings this time? If you went up a gauge, the higher string tension is pulling harder on the bridge, and the offsetting tension from the claw springs is no longer enough to counteract this, so the bridge shifted until in its new position the now-more=-stretched claw strings are putting enough tension on the bridge to hold it in place. Think of it as sort of like a tug-of-war.
There's an easy solution and a hard solution, depending on what you're after:
Easy - take a screwdriver, and screw in the claw screws quite a bit further, to increase the spring tension. If need be, add another spring. Then, retune. Your bridge will now be held flat against the body by the spring tension, and can only be used dive-only (and I'm assuming this is a vintage style trem and not a Floyd, BTW). The advantage here, aside from it only taking a couple minutes, is that since the bridge isn't floating compound bends will be in tune, and attack/sustain will be more like a fixed bridge.
Hard - Give the claw screws a turn or two to tighten them up. This will cause the bridge to start coming down, which will increase the string tension and in turn pitch, meaning your guitar will go sharp. Retune until all six strings are back at concert pitch. Check your bridge angle again. If it's still angled, then tighten the claw screws a little more, retune, and check angle. Continue doing this until the bridge is perfectly level. Assuming the trem studs aren't flush with the top of the guitar, at this point the bridge will now be "floating" - you can pull back a little bit as well as dive. The advantage here is you can co all sorts of cool shit with a floating trem - the disadvantage is that dialing in a bridge to float right is the sort of stuff novice techs have nightmares about, doing compound bends takes a bit of skill (the trick is to apply just enough pressure with your palm as you bend to stop the bridge from raising as the overall string tension increases as you bend a note), and that you don't have quite as crisp and bell-like an attack - this is a tradeoff whammy nuts are of course all too willing to make.
I've got a Wilkinson VS100 in my strat, set to float with about a half step of pullback. If it'd help, I can take you a picture or two of how I have it set up.