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 ship is 28 m, how long is the model ship?

Answer 1

Answer:

$\red { Length \:of \: the \: model \:ship }\green{=21\:cm }$

Step-by-step explanation:

From the figures above :

Model ship:

Let the length of the model ship (AB) = x cm ,

Height of the mast (BC) = 9 cm;

Actual ship:

Length of the actual ship (DE) = 28 m,

Height of the mast (EF) = 12 m,

/* We know that,

∆ABC ~ ∆DEF,

$\pink { \frac{AB}{BC} = \frac{DE}{EF}}$

$\blue {( Ratio \:of \: corresponding \: sides )}$

$\implies \frac{x}{9} = \frac{28}{12}$

$\implies x = \frac{28\times 9}{12}$

$\implies x = 21\:cm$

Therefore.,

$\red { Length \:of \: the \: model \:ship }\green{=21\:cm }$

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Answer 2

Answer:

Step-by-step explanation:

LENGTH OF THE MAST OF ACTUAL SHIP:

12cm -x1

28cm-x2

LENGTH OF THE MAST OF MODEL SHIP:

9cm-y1

? -y2

Mast of the actual ship is directly propotional to mast of the model ship

x1÷y1=x2÷y2

12÷9=28÷y2

y2=28÷(12÷9)

y2=21cm,,

Therefore, length of the model ship=21cm,,