Question

A vertical stick 30 cm long cast a shadow 20cm long on ground at same time a tower cast a shadow 40m long on ground determine the height of tower

Answer 1

AB is the stick
BC is its shadow
DE is the tower
EF is its shadow


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Answer 2

Answer: 60 m

Step-by-step explanation:

Given : A vertical stick 30 cm long cast a shadow 20cm long on ground at same time a tower cast a shadow 40m long on ground .

We assume that both stick and tower are standing vertical to the ground making right angle.

Then, the triangle made by them must be similar.

Also,  similar triangles have proportional side-lengths.

Let x be the height of the tower , then  we have the following equation :-

$\dfrac{\text{Height of tower}}{\text{Shadow made by tower}}=\dfrac{\text{Height of stick}}{\text{Shadow made by stick}}\\\\\Rightarrow\ \dfrac{x}{40}=\dfrac{30}{20}\\\\\Rightarrow\ x=\dfrac{30\times40}{20}=60$

Hence, the height of tower = 60 m