Question

Человек ростом 1,6м стоит на ростоянии 12 шагов от стены дома , на каторой весит фонарь тень человека равна 8 шагам . на какой высоте весит фонарь

Answer 1

Строим рисунок. отсюда видно то, что построенные треугольники подобны
коэффицент подобия равен 20/8=2,5
1,6*2,5*2,5=10 метров

Answer 2

Calculation of the Height of the Lantern

To calculate the height at which the lantern is hanging, we can use the information provided:

- The person's height is 1.6 meters. - The person is standing 12 steps away from the wall of the house. - The length of the person's shadow is 8 steps.

We can set up a proportion to solve for the height of the lantern:

Person's height / Length of person's shadow = Distance from person to lantern / Height of lantern

Let's substitute the given values into the proportion:

1.6 meters / 8 steps = 12 steps / Height of lantern

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

1.6 meters * Height of lantern = 8 steps * 12 steps

Simplifying the equation:

1.6 * Height of lantern = 96

Now, we can solve for the height of the lantern:

Height of lantern = 96 / 1.6

Calculating the result:

Height of lantern = 60 meters

Therefore, the lantern is hanging at a height of 60 meters.