The 1.8m high vertical pole has a 2.7m long day. How long is the shadow cast at this time by the lamppost if its height is 5.4m.

Initial data: L (length of the vertical pole) = 1.8 m; H (length of the shadow of the vertical pole) = 2.7 m; h (lamp post height) = 5.4 m.
The length of the shadow of a lamp post can be expressed from the ratio: H / h = L / l and l = L * h / H.
Let’s make a calculation: l = 1.8 * 5.4 / 2.7 = 3.6 m.
Answer: The lamppost casts a 3.6 meter long shadow.