Question

In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 15 m high. If the length of the ship is 35 metres, how long is the model ship?

Answer 1

Let the length of model ship = x m

Height of mast of model : Length of the model ship :: Height of mast : Length of ship

$9cm$ or $\frac{9}{100}m:x=15m:35m$ (more height, more length of ship, direct proportion)

$\therefore x=\frac{9\times 35}{100\times 15}=\frac{21}{100}m=21cm$

$\therefore$ Length of model ship $=21cm$