#### 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 the length of the mast of the model ship be *x* cm.

The given information in the form of a table is as follows:

- | Height of mast |
Length of ship |

Model ship |
9 cm | x |

Actual ship |
12 m | 28 m |

We know that the dimensions of the actual ship and the model ship are directly proportional to each other.

Therefore, we obtain:

`12/9 = 28/x`

`x = (28xx9)/12 = 21`

Thus, the length of the model ship is 21 cm.

Is there an error in this question or solution?

Solution 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? Concept: Concept of Direct Proportion.