Overgrown trees/branches/roots damaging property

The property is currently rented and had a complaint about the risk of trees that are way to close to our border. They have damaged all our fences at the front. We had rear fences replaced few years ago which are now again being damaged. The branches are way into our air space. We are concerned that the roots could end up damaging our property as they are now getting close to property and is a big concern. You can see from pictures that these have never been maintained by council and is something that requires immediate attention to stop any further damage to my property.