The tourist walked 1.5 km from the camp to the south, and then turned to the east and walked another 800 m

The tourist walked 1.5 km from the camp to the south, and then turned to the east and walked another 800 m, at what distance from the camp was the tourist tourist?

Since the tourist first moved strictly to the South, and at point B turned strictly to the East, at point B he turned 90.

We get a right-angled triangle, in which the lengths of the legs are 1.5 km and 800 m = 0.8 km. Then, by the Pythagorean theorem, we determine the distance from point A to point C, which is the hypotenuse of the triangle.

AC ^ 2 = AB ^ 2 + BC ^ 2 = 1.5 ^ 2 + 0.8 ^ 2 = 2.25 + 0.64 = 2.89.

AC = 1.7 km.

Answer: The distance from point A to point C is 1.7 km.