Go to the location shown above, and talk to the researcher "Esther" to start the quest.
Retrieve the survey beacons (0/4)
All 4 beacons are in the circle area, and marked on the image above. 2 are close to the wooden fence shown above. The other one is to the west of the teleport waypoint, and the last one is in the upper right, close to the pond. The last one is frozen with the ice that requires scarlet quartz. The location of the scarlet quartz is marked on the map above with the star icon.
Place the survey beacons (0/4)
You will have to place the survey beacons on top of some high areas. This section is fairly linear since all the spots are marked on your map. The exploration to place the beacons can help you travel around the map, which can be good for spotting some unclaimed crimson agates.
Since there's going to be a lot of climbing, and sheer cold keeps accumulating, you can use stamina foods like the one above to conserve some stamina as you climb. This will also stack with "Goulash" the food that reduces sheer cold buildup rate.
The Great Mountain Survey II
Peak of Dragonspine
After finishing her last quest, you can talk to her again for another quest: "The Great Mountain Survey II", where she will ask you to put 1 survey beacon on the peak of the mountain.