During the summer vacation, Xiao Ming and his classmates went to a certain island to explore for treasures. They followed the route shown in the picture to explore treasures. After landing, they firs

During the summer vacation, Xiao Ming and his classmates went to a certain island to explore for treasures. They followed the route shown in the picture to explore treasures. After landing, they first walked 8km east and then 2km north.

Answer: Solution: passing through point B, draw BD⊥AC at point D.

According to the meaning of the question, we can see that AD=8-3+1=6 kilometers, BD=2+ 6=8 kilometers,

In Rt△ADB, from the Pythagorean theorem, AB=AD2+BD2=10 kilometers.

Answer: The straight-line distance from the landing point to the buried treasure point is 10 kilometers.

So the answer is: 10.