Question

Путешественник прошел 5 км в южном направлении,а затем еще 12 км в восточном.Чему равен модуль совершенного им перемещения? помогите решить задачу очень срочно

Answer 1

Сделай рисунок. Где юг и где восток, надеюсь, ты знаешь.
Получился прямооугольный треугольник с катетами 5 и 12.
По т. Пифагора находим гипотенузу. =корень(5^2 + 12^2) = корень (169) = 13

Answer 2

Calculation of the Displacement

To calculate the magnitude of the displacement, we need to find the straight-line distance between the starting point and the final point of the traveler's journey. In this case, the traveler first moves 5 km in the southern direction and then 12 km in the eastern direction.

To find the magnitude of the displacement, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this scenario, the southern movement and the eastern movement form the two sides of a right-angled triangle. The magnitude of the displacement is the hypotenuse of this triangle.

Let's calculate the magnitude of the displacement step by step:

1. The southern movement of 5 km forms one side of the triangle. 2. The eastern movement of 12 km forms the other side of the triangle.

Using the Pythagorean theorem, we can calculate the magnitude of the displacement as follows:

Magnitude of Displacement = √(5^2 + 12^2)

Now, let's calculate the magnitude of the displacement:

Magnitude of Displacement = √(25 + 144) = √169 = 13 km

Therefore, the magnitude of the perfect displacement is 13 km.

Please let me know if there is anything else I can help you with!