Question

In ship of length $28m$, height of its mast is $12m$. If the height of the mast in its model is $9cm$ what is the length(in cm) of the model ship?

Answer 1

height of its mast is $12m=12\times 100cm=1200cm$

height of the mast in its model is $9cm$

So, $\text{ratio}=\frac{\text{height of the mast in its model}}{\text{height of original mast}}=\frac{9}{1200}$

So, height in model decreases by this ratio.

This same ratio will be there for length of ship and its length in model

length of original ship $=28m=28\times 100=2800cm$

So, $\text{length of ship in the model = ratio x length of original ship}$

$=\frac{9}{1200}\times 2800=\frac{9}{3}\times 7=21cm$