Question

Дерево высотой 2 м, стоящее в 3 метрах от фонаря, отбрасывая тень, которая в полтора раза длиннее, чем дерево. На какой высоте от земли находится лампочка от фонаря?

Answer 1

Тень = 2*1.5 = 3м
дальше по подобию треугольников:
фонарь/(расстояние между ним и деревом + тень дерева) = дерево/тень дерева
x/6 = 2/3; x = 4м.

Answer 2

Calculation of the Height of the Light Bulb

To determine the height of the light bulb from the ground, we can use the information provided in the question. Let's break down the given information:

- The tree is 2 meters tall. - The tree is standing 3 meters away from the lamppost. - The shadow cast by the tree is 1.5 times longer than the height of the tree.

To find the height of the light bulb, we need to calculate the length of the shadow cast by the tree. Since the shadow is 1.5 times longer than the height of the tree, we can multiply the height of the tree by 1.5 to get the length of the shadow.

Length of the shadow = 1.5 * Height of the tree

Now, we know that the tree is standing 3 meters away from the lamppost. This means that the length of the shadow cast by the tree is also the distance between the tree and the light bulb.

Therefore, the height of the light bulb from the ground is equal to the length of the shadow cast by the tree.

Height of the light bulb = Length of the shadow = 1.5 * Height of the tree

Let's calculate the height of the light bulb using the given information:

Height of the light bulb = 1.5 * 2 meters = 3 meters

Therefore, the light bulb is located at a height of 3 meters from the ground.