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in Mathematics by (15.0k points)

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?

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Best answer

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:

19/2 = 28/x

x = (28 x 9)/12 = 12

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

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