Final answer:
The locus of points where the treasure might be buried is at the single intersection point of two circles: one with a radius of 60 meters around the tree stump and another with a radius of 40 meters around the boulder, with the centers of both circles being 80 meters apart.
Step-by-step explanation:
The information given describes a classic problem of finding the intersection of circles, which is a geometric locus problem. Since Harold is standing at the tree stump and the treasure is 60 meters from that point, we can imagine a circle with a radius of 60 meters around the tree stump. The same goes for Dina, who is on the large black boulder, with the treasure being 40 meters from that point, indicating another circle, this time with a radius of 40 meters around the boulder. The distance between Harold and Dina is given as 80 meters, which is the distance between the centers of these two circles.
The locus of points where the treasure might be buried will be the points of intersection between the two circles. Since the sum of the radii of the circles (60 meters + 40 meters) is equal to the distance between Harold and Dina (80 meters), it implies that the circles touch at exactly one point. This point is where the treasure is buried.
To visualize, we can draw one circle around the tree stump and another around the boulder. The circles will intersect at one point since the distance between their centers is exactly the sum of their radii. This point is the locus of points where the treasure can be found.