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You need to call your local building department.
A storage shed built in San Diego, California must be at least three feet away from the property line. The eaves of the building must be at least two feet away from the property line.
Call your city Building and Planning department.
It depends on the setback requirements in the property's zoning. If it's zoned, the zoning regulations will state how close any part of the building can be to the property.
Depends on the State, County & City codes.
The width of the cut of your mower will answer your question.
It depends on the specific zoning of the parcel. Check with your City Engineer's office.
You need to call, your local town offices. Those matters are governed locally.
According to eCode360, the building setback is 25 feet in the front. The regulation also explains that the setback for the side of the property is 10 feet.
Generally, a property line is often the center of the creek. It depends on your deed description and your state laws. Some states provide that a property that abuts a waterway runs to its center. Some older deed descriptions rune to the center of a brook and some specifically run to its bank, leaving the brook on the land of the abutter. There is no universal rule about "how close a property line can be" to a creek. If you want to know how close to a creek you can build you need to check your state wetland protection laws. Waterways are generally protected by buffer zones of 100-200 feet. You can get an answer from your town conservation commission.
Call the town clerk's office and ask about building restrictions.