QQuestionMathematics
QuestionMathematics
Convert the height of a person who is 5.2 feet tall to centimeters. Include the inches-centimeter conversion
factor. Use the table given to create conversion factors. Show all conversion factors needed.
Round final answer to 2 decimal places if needed. The setup below should look like the typical dimensional
analysis that you learned.
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Answer
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Step 1:: Write down the height of the person in feet.
The height of the person is 5.2 feet.
Step 2:: Identify the conversion factor between feet and inches.
1 ~\text{foot} = 12 ~\text{inches}
From the table, we can see that there are 12 inches in a foot. So, the conversion factor is:
Step 3:: Convert the height from feet to inches.
5.2 ~\text{feet} \times \frac{12 ~\text{inches}}{1 ~\text{foot}} = 62.4 ~\text{inches}
To convert the height from feet to inches, multiply the height in feet by the conversion factor:
Step 4:: Identify the conversion factor between inches and centimeters.
1 ~\text{inch} = 2.54 ~\text{centimeters}
From the table, we can see that there are 2.54 centimeters in an inch. So, the conversion factor is:
Step 5:: Convert the height from inches to centimeters.
62.4 ~\text{inches} \times \frac{2.54 ~\text{centimeters}}{1 ~\text{inch}} = 158.454 ~\text{centimeters}
To convert the height from inches to centimeters, multiply the height in inches by the conversion factor:
Final Answer
The height of the person is 158.45 centimeters (rounded to 2 decimal places).
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