I am working on a dataset containing movements of sharks along a coastline. I have a location estimate for the sharks every 15 minutes. I am trying to find the minimum distance from shore for each position of each shark. I can do this manually using the measure tool, but I have thousands of positions. Is there a way to automatically measure the distance between a series of positions and a shoreline shapefile? Sorry if this is a newbie question, but I mostly use qGIS to make pretty maps

.
Thanks for your help,
Tim