scale model is made of a 300 year old sailing ship. The mo a \( 1: 200 \) reduction of the original. Find: a the height of the mast in the model if the original mast 20 m high

To find the height of the mast in the scale model, we can use the scale ratio provided, which is \( 1:200 \). This means that every 1 unit of measurement in the model corresponds to 200 units in the original. Given that the original mast is 20 meters high, we can calculate the height of the mast in the model as follows: \[ \text{Height of the mast in the model} = \frac{\text{Height of the original mast}}{\text{Scale factor}} \] Substituting the values: \[ \text{Height of the mast in the model} = \frac{20 \text{ m}}{200} \] \[ \text{Height of the mast in the model} = 0.1 \text{ m} \] Thus, the height of the mast in the model is **0.1 meters**, or **10 centimeters**.