Question

Человек ростом 1,8 м стоит на расстоянии 6,6 м от столба, на котором висит фонарь. Длина тени человека 2,2 м. На какой высоте установлен фонарь? Ответ дайте в метрах.

Answer 1

2,2/6,6=1,8/x
x=(6,6*1,8)/2,2=5,4

Answer 2

Calculation of the Height of the Lamp Post

To determine the height at which the lamp post is installed, 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 6.6 meters away from the lamp post. - The length of the person's shadow is 2.2 meters.

We can create a proportion between the person's height, the length of their shadow, and the distance between the person and the lamp post:

Person's height / Length of shadow = Distance to lamp post / Height of lamp post

Substituting the given values:

1.8 / 2.2 = 6.6 / Height of lamp post

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

Height of lamp post = (1.8 * 6.6) / 2.2

Calculating this expression:

Height of lamp post = 5.4 meters

Therefore, the lamp post is installed at a height of 5.4 meters.