Question

В 21м одна от другой растут две сосны.Высота одной 39м а другой 11м.Найдите расстояние в метрах между их верхушками. Ответ я знаю :корень из (21^2+(39-11)^2)=корень из (441+784)=35 Напиши пожалуйста почему так получилось

Answer 1

Смотри фото ниже, просто до прямоугольника достраиваем. Получается,что это расстояние между вертушками - гипотенуза прямоугольного треугольника. Первый катет равен 21, так как прямоугольник, а противолежащие стороны параллельны и равны. Вторая сторона равна=39-11=28
Находим расстояние по теореме Пифагора :
корень из 21^2+ корень из 28^2=35

Answer 2

Calculation of the Distance between the Tops of Two Pine Trees

To find the distance between the tops of two pine trees, one measuring 39 meters and the other measuring 11 meters, we can use the Pythagorean theorem. The Pythagorean theorem 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 case, we can consider the height of the taller tree (39 meters) as the hypotenuse, and the height of the shorter tree (11 meters) as one of the other sides. The distance between the tops of the trees will be the length of the remaining side, which we can calculate using the Pythagorean theorem.

The formula for the Pythagorean theorem is:

c^2 = a^2 + b^2

Where: - c is the length of the hypotenuse (the height of the taller tree, 39 meters) - a is the length of one side (the height of the shorter tree, 11 meters) - b is the length of the remaining side (the distance between the tops of the trees)

By substituting the given values into the formula, we can solve for b:

b = √(c^2 - a^2)

Substituting the values: - c = 39 meters - a = 11 meters

We can calculate the distance between the tops of the trees as follows:

b = √(39^2 - 11^2) = √(1521 - 121) = √1400 ≈ 37.42 meters

Therefore, the distance between the tops of the two pine trees is approximately 37.42 meters.