Question

Un árbol proyecta una sombra cuya longitud es de 13 m y una persona cuya estatura es de 170 cm, proyecta al mismo tiempo, una sombra de longitud 1m. Calcula la altura del árbol.

Answer 1

7.65 meters

Explanation:

We have to:

Tree = AB = 13 m.

Person = A'B '= 170 cm = 1.7 m

AC =?

A'C '= 1 m

Thales' Theorem applies. Similar triangles: are those that have a similar shape but on a smaller or larger scale and their angles are the same.

AB / A'B '= AC / A'C'

13m / 1.7m = AC / 1m

Clear h1

AC = 13 * 1 / 1.7

AC = 7.65 m

The height of the tree is 7.65 meters