A vertical stick 1.8 m long casts a shadow 45 cm long on the ground. At the same time, what is the length of the shadow of a pole 6 m high?

Let DF be the stick of 1.8 m height and AB be the pole of 6 m height.

AC and FE are the shadows of the pole and stick respectively.

FE = 45cm = .45 m

Since the shadows are formed at the same time, the two Δs are similar by AA similarity criterion

So

⇒

⇒ x = 1.5 m