The street lamp hangs at a height of 3m. A 1.2 m long stick, placed vertically in a certain place

The street lamp hangs at a height of 3m. A 1.2 m long stick, placed vertically in a certain place, casts a shadow the length of which is equal to the length of the stick. How far is the stick from the base of the post?

To determine the distance between the base of the pillar and the stick in question, we use the formula: h / l = H / L = H / (l1 + l), whence l1 = H * l / h – l.

The values of the variables: H – the height of the street lamp (H = 3 m); l is the length of the shadow of the stick (l = 1.2 m); h is the height of the stick (h = 1.2 m).

Calculation: l1 = H * l / h – l = 3 * 1.2 / 1.2 – 1.2 = 1.8 m.

Answer: The stick in question is located at a distance of 1.8 meters from the post.