Question

Выйдя из дома в гости к Пятачку,Винни-Пух прошёл на запад 600 футов,затем повернул на север и прошёл 300 футов,после чего встретил Пятачка.Найдите расстояние (в футах) между домами Винни-Пуха и Пятачка,если известно,что до встречи с Винни-Пухом Пятачок прошел 500 футов на юг.

Answer 1

Просматривается явный прямоугольный треугольник с катетами 600 футов и 800 футов ( Пятачок и Винни шли на встречу друг другу). Тогда растояние между ихними домами будет отражать гипотенуза этого прямоугольного треугольника.

 

По теореме Пифагора:

 

с^2=a^2+b^2

c^2=600^2+800^2

c^2=360000+640000=1000000 (футов)

 

освобождаем от корня:

 

с=1000 футов

 

Растояние от дома Пятака и Пуха равно 1000 футам

Answer 2

Calculation of Distance between Winnie-the-Pooh's and Piglet's Houses

To calculate the distance between Winnie-the-Pooh's and Piglet's houses, we need to consider the movements made by Winnie-the-Pooh and Piglet.

According to the given information: - Winnie-the-Pooh walked 600 feet to the west. - Then, Winnie-the-Pooh turned north and walked 300 feet. - Piglet walked 500 feet to the south before meeting Winnie-the-Pooh.

To find the distance between their houses, we can use the Pythagorean theorem, which states that in a right 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, the distance between their houses forms a right triangle, with the 600-foot and 300-foot distances as the two sides. The distance between their houses is the hypotenuse.

Let's calculate the distance using the Pythagorean theorem:

Step 1: Square the lengths of the two sides: - 600 feet squared = 360,000 square feet - 300 feet squared = 90,000 square feet

Step 2: Add the squared lengths of the two sides: - 360,000 square feet + 90,000 square feet = 450,000 square feet

Step 3: Take the square root of the sum to find the length of the hypotenuse (distance between their houses): - Square root of 450,000 square feet ≈ 670.82 feet

Therefore, the distance between Winnie-the-Pooh's and Piglet's houses is approximately 670.82 feet.

Please note that the sources provided do not contain specific information about the distance between Winnie-the-Pooh's and Piglet's houses. The calculation is based on the given information and the application of the Pythagorean theorem.