Passing through door alert application

I’m trying to find a technology that could send an alert when a device passes through a door. Ideally it would use range and bearing to a known beacon to calculate if the device is on the other side of a door.

The application is for use by people at risk of wandering (Alzheimer’s and Autism for example). Caregivers would get an immediate notification that someone walked through a door and could take action immediately.

Is this an appropriate use of beacon technology?

Yes, with Indoor you should be able to know if the device is coming from inside or outside, you’ll just need to map out a chunk of an area where the door is.