I don't know whether this fits your definition of an inverse problem, but maybe cruise over to the USGS website and find a picture or a screenshot of locating a

I don't know whether this fits your definition of an inverse problem, but maybe cruise over to the USGS website and find a picture or a screenshot of locating an earthquake based on seismic readings. Most people have heard of or can relate to that, I think. Good luck with your presentation.