Question

путешественник двигался от дома на запад и прошел 20 км, на следующий день он повернул на север и прошел еще 16 км, далее повернул на восток и прошел 8 км. на каком расстоянии ( в км) от дома он оказался?

Answer 1

 

х^2 = 12^2 + 16^2

х^2 = 144 + 256 (под корнем)

х^2 = 400

х = корень из 400.

х = в 20 км от дома оказался путешественник.

Ответ: в 20 км. 

Answer 2

Calculation of Distance Traveled

To calculate the distance from the traveler's starting point, we can break down the movements into their respective directions and distances:

1. The traveler moved 20 km to the west. 2. The next day, the traveler turned north and moved 16 km. 3. Finally, the traveler turned east and moved 8 km.

To find the total distance from the starting point, we can use the Pythagorean theorem to calculate the diagonal distance traveled. This can be done by finding the square root of the sum of the squares of the distances traveled in each direction.

Let's calculate the total distance:

1. Distance traveled west: 20 km 2. Distance traveled north: 16 km 3. Distance traveled east: 8 km

Using the Pythagorean theorem, the total distance can be calculated as follows:

Total distance = √(20^2 + 16^2 + 8^2)

Calculating the above expression, we find that the traveler ended up at a distance of approximately 28.8 km from their starting point.

Please note that the search results provided did not directly answer the question, so the calculation was done based on the given information.