A model of a ship is made to a scale of `1:160`. Find:
the length of the ship, if the length of its model is 1.2m.

Answer

To find the length of the ship based on the model's length and the scale, we can follow these steps:

### Step 1: Understand the Scale
The scale given is 1:160. This means that 1 unit of measurement on the model corresponds to 160 units of measurement on the actual ship.

### Step 2: Identify the Length of the Model
The length of the model is given as 1.2 meters.

### Step 3: Set Up the Calculation
To find the actual length of the ship, we can use the scale. We multiply the length of the model by the scale factor:
\[ \text{Length of the ship} = \text{Length of the model} \times \text{Scale factor} \]
Substituting the values we have:
\[ \text{Length of the ship} = 1.2 \, \text{m} \times 160 \]

### Step 4: Perform the Calculation
Now, we calculate:
\[ 1.2 \times 160 = 192 \, \text{m} \]

### Step 5: State the Result
Thus, the length of the ship is 192 meters.

### Summary
The length of the ship is **192 meters** when the model length is 1.2 meters and the scale is 1:160.

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