Question

Человек ростом 1,8 м стоит на расстоянии 11 шагов от столба, на котором висит фонарь. Тень человека равна 9 шагам. На какой высоте( в метрах) расположен фонарь?

Answer 1

Возьмём за x-высота столба

Теперь найдём расст.от столба до конца тени:

11+9=20шагов

 

пропорция:

х/1,8 = 20/2

x = 1,8*20/2=18 м(на данной высоте расположен фонарь)

Answer 2

Calculation of the Height of the Lamp Post

To calculate the height of the lamp post, we can use the concept of similar triangles. Let's break down the given information:

- The person's height is 1.8 meters. - The person is standing 11 steps away from the lamp post. - The length of the person's shadow is 9 steps.

We can set up the following proportion:

Height of the person / Length of the person's shadow = Height of the lamp post / Distance from the person to the lamp post

Let's substitute the given values into the proportion:

1.8 meters / 9 steps = Height of the lamp post / 11 steps

To find the height of the lamp post, we can cross-multiply and solve for the unknown:

Height of the lamp post = (1.8 meters / 9 steps) * 11 steps

Now, let's calculate the height of the lamp post using the given information:

Height of the lamp post = (1.8 / 9) * 11 = 2.2 meters

Therefore, the lamp post is located at a height of 2.2 meters.