Question

Фонарь закреплен на столбе на высоте 5,4. Человек стоит на расстоянии 6 км от столба и отбрасывает тень длиной 3 м. Каково роста человек?

Answer 1

Calculation of the person's height

To calculate the height of the person, we can use similar triangles. The height of the person can be determined by finding the ratio of the length of the person's shadow to the distance between the person and the pole.

Given: - The height of the pole is 5.4 meters. - The person is standing at a distance of 6 kilometers from the pole. - The length of the person's shadow is 3 meters.

To find the height of the person, we can set up the following proportion:

Height of person / Distance to pole = Length of shadow / Height of pole

Let's substitute the given values into the proportion:

Height of person / 6000 meters = 3 meters / 5.4 meters

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

Height of person = (3 meters * 6000 meters) / 5.4 meters

Calculating this expression gives us the height of the person.