A house is 19 ft tall. Its shadow is 50 ft long at the same time the shadow of a nearby building is 325 ft long. Find the height of the building.

The height of the building is

We have the following proportion :

19 / 50 = h / 325 where h is the building height

Multiply both sides by 325 and we have

h = [ 325 * 19 ] / 50 = 123.5 ft

The shadow of a building is proportional to its height:

19/50 x 325 =123.5 Ft. the height of the building.