Solve the following problems using the method of proportion.
The shadow of a $5 m$ high tree at certain time is $80 c m$ long. How long will be the shadow of a person at the same time who is $1.25 m$ tall?

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Solution

Finding the length of shadow of the person
Let the height of the shadow of the person be $x$ .
As all the quantities will be in proportion.
Therefore , $500 : 80 : : 125 : x [5 m = 500 c m]$
We know that in proportion,
Product of extreme terms $=$ Product of middle terms
$500 \times x = 80 \times 125 \Rightarrow x = \frac{80 \times 125}{50} \Rightarrow x = 20$
Hence, the shadow of the person is $20 c m$

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