Question

Че­ло­век ро­стом 1,6 м стоит на рас­сто­я­нии 11 шагов от стол­ба, на ко­то­ром висит фо­нарь. Тень че­ло­ве­ка равна двум шагам. На какой вы­со­те (в мет­рах) рас­по­ло­жен фо­нарь?

Answer 1

Решение задачи осуществляется путем составления пропорции для подобных треугольников.

x - высота фонаря.

11+2 - расстояние от столба до конца тени.

х:1,8 = 13:2

x = 1,8*13/2 = 11,7 м

Answer 2

Calculation of the Height of the Lamp Post

To determine the height of the lamp post, we can use the information provided in the question. Let's break down the given information:

- The person is standing at a distance of 11 steps from the lamp post. - The person's shadow is equal to two steps.

To find the height of the lamp post, we can set up a proportion using similar triangles. The height of the lamp post can be represented by "h," and the height of the person can be represented by "1.6 m."

The proportion can be set up as follows:

Person's height / Person's shadow = Lamp post height / Distance from the person to the lamp post

Substituting the given values:

1.6 m / 2 steps = h / 11 steps

To solve for "h," we can cross-multiply and then divide:

1.6 m * 11 steps = 2 steps * h

17.6 m = 2h

h = 17.6 m / 2

h = 8.8 m

Therefore, the lamp post is located at a height of 8.8 meters.