If a 1.5 m tall girl stands at a distance of 3 m from a lamp-post and casts a shadow of length 4.5 m on the ground, then the height of the lamp-post is

Let AB be the tower of h meters and CD be the girl of 1.6m height casting shadow = DE of 4.8 m, standing at the distance of 3.2m from the tower.

In Δ CDE

tan ∠CED = CD/ DE = ………………….1

tan ∠CED = 1/3

In Δ ABE

tan ∠CED = = ………………….2

From 1 and 2

=

h = m

h = 2.5m