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Answer :
Final answer:
By setting up proportions based on the scale factor of 1 to 42, we calculated the actual width (a) of the carrier to be 21 feet, and the scale model height (b) to be 543.4284 inches. None of the given options match these values.
Explanation:
To solve this problem, we need to work with the scale provided and set up proportions to find the unknown dimensions of the carrier.
First, we have been given a scale factor of 1 to 42. We can write this as:
Actual size / Scale model size = 42 / 1
We have been given that the scale model's height (b) is unknown and its width is 6 inches. For the actual carrier, the height is 1,902 feet and the width (a) is unknown.
We need to set up two separate proportions:
- For height: 1,902 feet / b inches = 42 / 1
- For width: a feet / 6 inches = 42 / 1
To solve for b, cross-multiply:
1,902 feet * 1 = 42 * b inches
b = (1,902 feet * 1) / 42
b = 45.2857 feet
Since there are 12 inches in a foot, we convert b to inches:
b = 45.2857 feet * 12 inches/foot = 543.4284 inches
To solve for a, cross-multiply:
a feet * 1 = 42 * 6 inches
a = (42 * 6 inches) / 12 inches/foot
a = 21 feet
So the correct answer is not listed among the options given. The actual values would be a=21 feet and b=543.4284 inches.
Learn more about Scale Proportions here:
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Answer: (a) = 271 a=271 feet, b=42 inches.
Step-by-step explanation:
Therefore, the values are
= 271
a=271 feet and
= 42
b=42 inches.
So, the correct answer is (a) = 271 a=271 feet, b=42 inches.
