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

Let x m be the length of the model ship when the height of the mast is 9 cm.

Now, according to question,

	Model ship	Actual ship
Height of the mast (in m)	`9/100`	12
Length of the ship (in m)	x	28

∴ `(9/100)/x = 12/28`

⇒ `(9xx28)/(12xx100)` = x

⇒ 0.21 = x

Thus, the length of the model ship = 0.21m.