Question

Решить задачу. Камень брошен с окна дома с высоты 7 метров на расстояние 5 метров от стены. Найдите перемещение камня.

Answer 1

По теореме Пифагора
7^2+5^2=х^2
х-перемещение
49+25=х^2
х^2=74
х= корень из 74

Answer 2

Problem Analysis

We are given that a stone is thrown from a window of a house at a height of 7 meters. The stone lands at a distance of 5 meters from a wall. We need to find the displacement of the stone.

Solution

To find the displacement of the stone, we can use the Pythagorean theorem. The displacement is the straight-line distance between the starting point (window) and the landing point (ground).

Let's denote the horizontal distance as x and the vertical distance as y. We can use the following equations to find the values of x and y:

1. x = 5 meters (given) 2. y = -7 meters (negative because the stone falls downward)

Using the Pythagorean theorem, we can calculate the displacement (d) as follows:

d = √(x² + y²)

Substituting the values of x and y into the equation, we get:

d = √((5)² + (-7)²)

Simplifying the equation, we have:

d = √(25 + 49)

d = √74

Therefore, the displacement of the stone is approximately 8.60 meters.

Answer

The displacement of the stone is approximately 8.60 meters.