Question

Человек стоит на расстоянии 7.2 м от столба, на котором висит фонарь,расположенныйй на высоте 8м .Тень человека 1,8 м Каков рост человека ПОмогите пожалуйста !!! С рисунком и по побробнее

Answer 1

Решение: Δ АВЕ подобен Δ СДЕ по 2 углам.
Отсюда верно соотношение:
АВ\АЕ=СД\ДЕ
АЕ=7,2+1,8=9 м.
СД=8*1,8:9=1,6 м.
Ответ: 1,6 м.

Answer 2

Calculation of the Person's Height

To determine the height of the person, we can use similar triangles and apply the concept of proportions. Let's break down the given information:

- The person is standing at a distance of 7.2 meters from the base of the pole. - The height of the pole, where the lantern is hanging, is 8 meters. - The length of the person's shadow is 1.8 meters.

We can set up the following proportion:

Height of the person / Length of the person's shadow = Height of the pole / Distance of the person from the pole

Let's substitute the given values into the proportion:

Height of the person / 1.8 meters = 8 meters / 7.2 meters

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

Height of the person = (8 meters / 7.2 meters) * 1.8 meters

Now, let's calculate the height of the person using the given values:

Height of the person = (8 / 7.2) * 1.8 meters

Calculating this expression, we find:

Height of the person ≈ 2 meters

Therefore, the height of the person is approximately 2 meters.

Diagram Representation

Here is a diagram to help visualize the situation:

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