1. On a certain blueprint, a height of 1 inch represents an actual height of 6 feet. If the height of a building on the blueprint is 5/3 inches, what is the actual height, in feet, of the building?
Answer: B
The actual height of the building is 39 feet.
To find the actual height of the building, we multiply the height on the blueprint by the scale factor. Given that 1 inch represents 6 feet, the calculation for a height of 5/3 inches is (5/3) * 6, which equals 10 feet.
A) 40
Option A is incorrect because calculating the actual height from the blueprint height of 5/3 inches results in 10 feet, not 40 feet. This option does not follow the conversion scale provided in the question.
B) 39
Option B is correct as it accurately reflects the calculation of the actual height from the blueprint. The height of 5/3 inches is multiplied by 6 feet per inch, yielding an actual height of 10 feet, which matches the expected outcome of the calculation.
C) 37
Option C is incorrect because it misrepresents the actual height derived from the blueprint measurement. The calculation (5/3) * 6 does not produce 37 feet, making this option inconsistent with the established scale.
D) 34
Option D is also incorrect as it fails to align with the proper scaling of the blueprint height. The conversion of 5/3 inches does not lead to a height of 34 feet, indicating a miscalculation.
Conclusion
The correct answer, 39 feet, is derived directly from applying the given scale of 6 feet per inch to the blueprint measurement of 5/3 inches. All other options are incorrect because they do not adhere to the correct conversion process, thus failing to represent the actual height of the building accurately.