An electric pole casts a shadow of length 20 m at a time when a tree 6 m high casts a shadow of length 8 m. Find the height of the pole.

Given: 

Length of the shadow of the electric pole = 20 m,

Height of the tree = 6 m,

Length of the shadow of the tree = 8 m


To find: Here we have to find the height of the pole.



Solution:

Let the height of the pole at that time be = a

Now, we know that:

Shadows of all the objects are proportional to their height. So,

Height of the electric pole : Length of the shadow of the electric pole :: Height of the tree : Length of the shadow of the tree

a : 20 :: 6 : 8

Also,

Product of extremes = Product of means

a $\times$ 8 = 20 $\times$ 6

a $\times$ 8 = 120

a = $\frac{120}{8}$

a = 15 m


So, the height of the pole is 15 m.

Updated on: 10-Oct-2022

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