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.

7.65 meters

Step-by-step 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

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.