Question

Башня имеет форму цилиндра. вокруг башни проходит винтовая лестница длиною в два витка. высота башни 20 метров, длина окружности основания башни 24 метра. сколько метров нужно преодолеть, чтобы подняться по лестнице на вершину башни?

Answer 1

Так как два витка, то 20м делим на два получаем 10м.
Если развернуть лестницу по прямой, то получится прямоугольный треугольник у которого катеты 24м и 10м. Находим по теореме Пифагора гипотенузу, получаем 26м. Умножаем на два (два витка), получаем 52м.
Ответ: 52м.

Answer 2

Calculating the Distance on the Spiral Staircase

To calculate the distance needed to climb the spiral staircase to the top of the tower, we can use the formula:

Distance = Number of Steps × Height of Each Step

First, let's calculate the number of steps on the spiral staircase.

Calculating the Number of Steps

The length of the spiral staircase is equal to the circumference of the base of the tower. We can calculate the number of steps by dividing the circumference by the length of two full turns of the staircase.

The circumference of the base of the tower is 24 meters, and the length of two full turns of the staircase is 24 meters × 2 = 48 meters.

Number of Steps = Circumference of Base ÷ Length of Two Full Turns

Number of Steps = 24 ÷ 48 = 0.5

As the number of steps cannot be a fraction, we need to round it up to the nearest whole number. Therefore, the number of steps is 1.

Calculating the Distance

Now that we know the number of steps, we can calculate the distance needed to climb the staircase.

The height of the tower is 20 meters, and the number of steps is 1.

Distance = Number of Steps × Height of Each Step

Distance = 1 × 20 = 20 meters

Therefore, to climb to the top of the tower using the spiral staircase, one would need to cover a distance of 20 meters.