The length of the shadow of a tree is 6 m, and the length of the shadow of a person

The length of the shadow of a tree is 6 m, and the length of the shadow of a person whose height is 1.75 m is 1.5 m. Find the height of the tree.

To solve this problem, it is necessary to draw up a proportion in which we write the height of the tree as x meters.

In this case, the height of the tree x will refer to the length of the tree (6 meters), just as the known height of a person, namely 1.75 m, refers to the length of his shadow (1.5 m).

We get the following equation:

x / 6 = 1.75 / 1.5.

We multiply the extreme terms of the proportion among ourselves.

1.5 * x = 1.75 * 6.

1.5 * x = 10.5.

x = 10.5 / 1.5 = 7 meters.

Answer:

The height of the tree is 7 meters.