Question

вертикально поставленная метровая линейка отбрасывает тень длинной h ¹= 0,25 м. Определите высоту дерева H , если в это же время оно имеет тень длинной H ¹= 2,0 м.

Answer 1

Calculation of the Tree Height

To determine the height of the tree (H), we can use the concept of similar triangles. The length of the shadow cast by the meter-long vertical ruler (h¹) and the length of the shadow cast by the tree (H¹) are given.

According to the given information: - The length of the shadow cast by the ruler (h¹) is 0.25 meters. - The length of the shadow cast by the tree (H¹) is 2.0 meters.

We can set up the following proportion to find the height of the tree (H):

h¹ / H¹ = 1 / H

Substituting the given values, we have:

0.25 / 2.0 = 1 / H

To solve for H, we can cross-multiply and then divide:

0.25 * H = 2.0 * 1

0.25 * H = 2.0

H = 2.0 / 0.25

H = 8.0 meters

Therefore, the height of the tree (H) is 8.0 meters.