A 21 meter tall tree near a building casts a shadow that is 24 meters long. The building casts a shadow that is 56 meters long. What is the height of the building.

Respuesta :

Answer  

Find out the what is the height of the building.

To prove

Let us assume that the height of the tree be x .

Let us assume that the shadow of the tree be y .

[tex]x \propto y[/tex]

x = ky

Where k is the constant of proportionality.

As given

A 21 meter tall tree near a building casts a shadow that is 24 meters long.

21 = k × 24

[tex]k = \frac{21}{24}[/tex]

k = 0.875

Let us assume that the height of the building be u .

As given

The building casts a shadow that is 56 meters long.

put values in the  x = ky

u = 0.875 × 56

u = 49 cm

Therefore the  height of the building is 49 cm .