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Answer :
Final answer:
The height of the model is found by setting up a proportion equation between the lengths of the forefingers and the total heights of the actual statue and the model. The model height calculated is around 4 feet 11.89 inches, which doesn't match any of the given options.
Explanation:
The question is about finding the height of a model of the Statue of Liberty given that the actual statue is 181 feet tall and has an 8 feet long forefinger. The model has a 2.5 inches long forefinger. We can solve this by setting up a proportion equation:
Model Forefinger / Actual Forefinger = Model Height / Actual Height
Thus, 2.5 inches / 8 feet = Model Height / 181 feet
We first convert 2.5 inches to feet, making 2.5 inches / 12 = 0.20833 feet. So the equation becomes:
0.20833 feet / 8 feet = Model Height / 181 feet
We can now solve for the model height, which comes out to be around 4.99091 feet.
Converting the decimal part into inches (by multiplying it by 12), we get that the model is approximately 4 feet 11.89 inches tall. None of the given options seem to match.
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Final answer:
The height of the Statue of Liberty model is 6 feet 0.5 inches.
Explanation:
To determine the height of the model, we can use a proportion. Let's set up the proportion:
2.5 inches / 8 feet = x inches / 181 feet
Cross multiplying, we get:
2.5 * 181 = 8 * x
Solving for x, we find that the height of the model is approximately 6 feet and 45.125 inches, which can be rounded to 6 feet 45 inches or 6 feet 0.5 inches.
Therefore, Option 3: 6 feet 0.5 inches is the correct answer.
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