Question

Человек рост которого равен 1 метр 70 см стоит рядом с деревом Найти высоту дерева в метрах если длина тени человека равна 1 метр 50см а длина тени дерева равна 4 метра 50 см

Answer 1

1,70 - 1,50
х - 4,50
х=1,70помножити на 4,50 і поділити на
1,50
х=5,10 --- висота дерева в метрах

Answer 2

Calculation of the Tree Height

To find the height of the tree, we can use the concept of similar triangles. The ratio of the length of the tree's shadow to the length of the person's shadow is equal to the ratio of the tree's height to the person's height.

Let's denote the height of the tree as h and the height of the person as p. The length of the person's shadow is given as 1 meter 50 centimeters, and the length of the tree's shadow is given as 4 meters 50 centimeters.

Using the ratio of the lengths of the shadows, we can set up the following equation:

h / p = (length of tree's shadow) / (length of person's shadow)

Substituting the given values:

h / p = 4.50 meters / 1.50 meters

Simplifying the equation:

h / p = 3

To find the height of the tree, we need to know the height of the person. The height of the person is given as 1 meter 70 centimeters.

Converting the height of the person to meters:

p = 1.70 meters

Now, we can substitute the value of p into the equation to find the height of the tree:

h / 1.70 = 3

Solving for h:

h = 3 * 1.70

h = 5.10 meters

Therefore, the height of the tree is 5.10 meters.