Answer:
[tex]x\approx64.622\text{ inches}[/tex]
Step-by-step explanation:
We can write a proportion that relate the model lengths to the actual length. The traditional format is:
[tex]\frac{\text{Model Length}}{\text{Scale Factor}}=\frac{\text{Original Length}}{\text{Scale Factor}}[/tex]
Hence, we will substitute 1454 for the “Original Length.”
2in for the “Scale Factor” below the model.
And 45ft for the “Scale Factor” below the original.
Let the model length be x.
This yields:
[tex]\frac{x}{2}=\frac{1454}{45}[/tex]
Solve for x. Cross-multiply:
[tex]2908=45x[/tex]
Divide both sides by 45:
[tex]x\approx64.622\text{ inches}[/tex]
Therefore, the height of the model is about 64.6 inches.
