If you couldn't park the Silverado in a space that huge (without a backup camera) you really shouldn't be driving a vehicle of any kind in LA (or Chicago or NYC or any other large city). I have a neighbor that parks his 1990's F350 Crew Cab long bed 4x4 on the street most days.
In NYC, finding a spot big enough is the biggest problem. Beyond that, in my experience with a last generation Yukon, is that the truck is very maneuverable despite it's size. If the spot's big enough, the truck should be able to get into it. Curving lines on the backup camera are nice but a radius is important when you're trying to get something this size into a tight space.
Now that I think about it, I'm not sure I'd want the lines at all, straight or curved. Straight lines would show you where you're headed if you went straight back. Curvy lines would show you where you're headed if you kept the wheel exactly where it is. The reality of parallel parking in a tight spot is that you do neither of these things. You are almost constantly adjust thing the wheel, first one way, then the other. You will never actually stay on the path indicated by the lines, whatever shape they are.
@legacy: I assumed the lines curve depending on the position of the steering wheel, so based on the current steering input the curve shows where you will go. Can anyone say if I'm correct or not?
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You must be joking. Can you always find 3 curbside spots in a row to hog?
Incidentally, does this truck run on 240v or only 110v?