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, which is given as 5.2 feet.
h_{ft} = 5.2 \ \text{feet}
Step 2:: To convert the height to inches, we use the conversion factor of 1 foot = 12 inches.
h_{in} = h_{ft} \times \frac{12 \ \text{inches}}{1 \ \text{foot}} = 5.2 \times 12 = 62.4 \ \text{inches}
Step 3:: Now, we convert the height in inches to centimeters.
h_{cm} = h_{in} \times \frac{2.54 \ \text{centimeters}}{1 \ \text{inch}} = 62.4 \times 2.54 = 158.454 \ \text{centimeters}
We use the conversion factor of 1 inch = 2.54 centimeters.
Final Answer
h_{cm} \approx 158.45 \ \text{centimeters}
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