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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?
Solution
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.
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