A model's scale ratio is the proportionate ratio of dimensions. The actual motorcycle stands at a height of 48 inches.
What is the scale ratio?
A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.
The length of the motorcycle is 96 inches, while the length of the scale model of the motorcycle is 6 inches. Therefore, the scale ratio can be written as,
[tex]\rm Scale\ Ratio = \dfrac{\text{The actual length of the motorcycle}}{\text{The model length of the motorcycle}}\\\\Scale\ Ratio = \dfrac{96}{6} = 16[/tex]
Using the same ratio the height of the motorcycle can be written as,
[tex]\rm Scale\ Ratio = \dfrac{\text{Actual height of the motorcycle}}{\text{Model height of the motorcycle}}\\\\\\16=\dfrac{\text{Actual height of the motorcycle}}{3}\\\\\\{\text{Actual height of the motorcycle}} = 16 \times 3 = 48\ inches[/tex]
Hence, the actual motorcycle stands at a height of 48 inches.
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