Shadow that is 24 meters long. How tall is the building?

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 .

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

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 .

the correct answer is the second option