Question

Four American Presidents' faces are carved on Mount Rushmore: Washington, Jefferson, Roosevelt, and Lincoln. Before the faces were carved on the cliff, scale models were made. The ratio of the faces on the cliff to the models was 12 to \(1 .\) If the scale model of President Washington's face was 5 feet tall, how tall is his face on Mount Rushmore?

Short answer

So, the face of President Washington on Mount Rushmore is 60 feet tall.

Step-by-step solution

- Understand the Ratio

Firstly, understand that the ratio given (12:1) means that the actual size of the faces on Mount Rushmore is 12 times larger than their scale models.

- Scale Up the Model Size

Next, apply that ratio to the size of the scale model to get the actual size of the face. As we know that the scale model of President Washington's face is 5 feet tall, we multiply this height by the scaling ratio (12) to get the real size.

- Perform the Calculation

Multiply 5 (the height of the model) by 12 (the scaling factor). This results in 60.