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
178 cm is the appropriate estimate of this person's height in centimeters.
To convert a height of 5 feet, 10 inches to centimeters, we first convert the feet and inches into inches, then multiply by the conversion factor of 2.54 cm per inch. This calculation results in a height of approximately 178 cm.
This option represents an unrealistically low height for a person. Converting 5 feet and 10 inches to centimeters results in a much larger value, making 28 cm an incorrect estimate.
An estimate of 85 cm is also significantly lower than the actual height. When converting 5 feet and 10 inches, the result far exceeds this value, indicating that 85 cm does not accurately represent the height in question.
This choice accurately reflects the conversion of a height of 5 feet, 10 inches into centimeters. The calculations yield approximately 177.8 cm, which rounds to 178 cm, making this the correct estimate of the person's height.
This option is yet another underestimation of the height. A height of 5 feet, 10 inches is greater than 152 cm, confirming that this choice does not reflect the accurate conversion needed for the person's height.
In summary, the accurate conversion of 5 feet, 10 inches results in an estimated height of 178 cm, confirmed by the conversion factor of 2.54 cm per inch. Other options fail to represent this height correctly, emphasizing that precise calculations are essential for accurate conversions.
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