Question

Ребят,помогите^^пожалуйста Лесник прошел от дома до опушки леса по направлению на запад 180 м, затем повернул на юг и прошел 240 м.На каком расстоянии в (метрах) от дома оказался лесник?

Answer 1

по теореме Пифагора лесник на расстоянии

корень(180^2+240^2)=300 м от дома

 

(так как направления запад и юг перпендикулярнs)

Answer 2

Calculating the Distance Traveled by the Forester

To calculate the distance the forester traveled from home, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, the forester's path forms a right-angled triangle, with the distance traveled west and the distance traveled south as the two sides.

Applying the Pythagorean Theorem

Let's denote the distance traveled west as a (180 m) and the distance traveled south as b (240 m). The distance from the home to the point where the forester ended up can be calculated using the formula:

c = √(a^2 + b^2)

Substituting the given values: c = √(180^2 + 240^2)

Calculating: c = √(32400 + 57600) c = √90000 c = 300

So, the forester ended up at a distance of 300 meters from home.

This calculation is based on the Pythagorean theorem and the given distances traveled by the forester in the west and south directions