Question

In a model of a ship. the mast is 9 cm high, while the mast of the actual ship is 12 m high.. If the length of the model ship is 21 cm, then how long is the actual ship.​

Answer 1

$\color{red}\huge{\underline{\underline{\bf GIVEN\dag}}}$

$\purple{ \sf{in \: a \: model \: ship :} }$

• $\tt{Height_{mast} = 9cm}$
• $\tt{length = 21cm}$

$\purple{ \sf{in \: a \:actual \: ship :} }$

• $\tt{Height_{mast} = 12m}$

$\color{red}\huge{\underline{\underline{\bf SOLUTION\dag}}}$

$\purple{\sf{since \: we \: know : }}$

$\sf{they \: are \: in \: proportion}$

$\sf{ [ \frac{lenght}{height}]_{model} = [ \frac{lenght}{height}]_{actual} }$

$\implies \sf \frac{21}{9} = \frac{length}{12}$

$\implies \sf lenght _{actual} = \frac{7}{3} \times 12$

$\orange{\therefore \sf lenght _{actual} = 28 \: m}$

HOPE IT HELPS!