Android Question Plot locations on an image map

I am writing an app that will show the user's current location on an image map and also show the distance from/to a starting or destination point. For example in one application, using an image of a golf hole (an aerial view drawn to scale) I want to show the player's position on the hole and their distance from the tee box and the green. I will have the coordinates of the tee box and green and I can get the distance and bearing from the current location but I can't figure out how to plot these on the image. The distance is easy enough but any ideas how I can using the bearing?

I don't want to use Google maps for a number of reasons,

Thanks.