10. A persons height is 5 feet, 10 inches. Which of the following is the appropriate estimate of this persons height in centimeters? Note: 1 inch = 2.54 cm
Answer: C
The appropriate estimate of this person's height in centimeters is 178 cm.
To convert a height of 5 feet, 10 inches to centimeters, first convert feet to inches (5 feet = 60 inches) and then add the additional 10 inches for a total of 70 inches. Multiplying 70 inches by 2.54 cm per inch yields approximately 178 cm.
A) 28 cm
This option is incorrect as it significantly underestimates the height. A height of 5 feet, 10 inches far exceeds 28 cm, as this value is less than a single foot.
B) 85 cm
This option is also incorrect. While 85 cm is a more reasonable height than 28 cm, it still underestimates the height of a person who is 5 feet, 10 inches tall, which is roughly 178 cm.
C) 178 cm
This option is correct. The conversion from the total height of 70 inches to centimeters results in approximately 178 cm, making it the accurate estimate for the height of a person measuring 5 feet, 10 inches.
D) 152 cm
This option is incorrect. A height of 152 cm is significantly shorter than 5 feet, 10 inches, which confirms that it is not an appropriate estimation for the given height.
Conclusion
The correct estimate of 178 cm accurately reflects the height conversion from 5 feet, 10 inches using the conversion factor of 2.54 cm per inch. All other options fail to represent the height appropriately, either underestimating it or being factually incorrect based on the conversion calculation.