a locomotive is 58 ft long and 11 ft wide.a special effects designer makes a model that is 20 in. long. how wide should it be?
58/20 = 11/x
Cross multiply and solve for x.
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To determine the width of the model locomotive, we can use the concept of proportion.
We know that the length of the actual locomotive is 58 ft and the length of the model locomotive is given as 20 in. However, the given length and width are in different units, so we need to convert them to the same unit for accurate comparison.
1 foot = 12 inches
To convert the length of the actual locomotive from feet to inches:
58 ft * 12 in/ft = 696 in
Now, we can set up a proportion to find the width of the model locomotive.
width of actual locomotive / length of actual locomotive = width of model locomotive / length of model locomotive
Let's denote the width of the model locomotive as "x".
11 ft / 696 in = x / 20 in
To solve for "x", we can cross-multiply and then divide:
(11 ft * 20 in) / 696 in = x
220 in/ 696 in = x
x ≈ 0.316 ft
Therefore, the width of the model locomotive should be approximately 0.316 ft.