Answer :
To determine the height in meters of the Statue of Liberty using the scale model, we need to set up an equation that relates the scale of the model to the actual size of the statue.
The scale given is 1 inch : 6.2 meters, which means for every 1 inch of the model, the actual statue is 6.2 meters tall. Since Howard’s model is 15 inches tall, we can use this proportion to find the actual height, [tex]x[/tex], in meters.
The correct way to set up this equation is:
[tex]\frac{1}{6.2} = \frac{15}{x}[/tex]
This equation, option D, reflects the fact that the ratio of 1 inch to 6.2 meters (the scale) is equal to the ratio of 15 inches (the model) to the actual height [tex]x[/tex] in meters.
To solve for [tex]x[/tex], we can cross-multiply:
[tex]1 \cdot x = 15 \cdot 6.2[/tex]
Simplifying the right side, we get:
[tex]x = 15 \times 6.2[/tex]
Calculating this, [tex]x = 93[/tex] meters.
So, the actual height of the Statue of Liberty is 93 meters.
