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Q
QuestionMathematics

If you are 5 feet 10 inches, how tall are you in meters? Write your answer to 4 significant figures (e.g., 2.852).
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Answer

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Step 1:
I'll solve this problem step by step, following the specified LaTeX and formatting guidelines:

Step 2:
: Convert feet to meters

5 \frac{10}{12} = 5.833 \text{ feet}
- 1 foot = 0.3048 meters - Height in feet = 5.833 feet (5 feet 10 inches)

Step 3:
: Multiply feet by conversion factor

5.833 \times 0.3048 = 1.778 \text{ meters}

Step 4:
: Round to 4 significant figures

1.778 \text{ meters} \approx 1.778 \text{ m}

Final Answer

Key points: - Converted 5 feet 10 inches to decimal feet (5.833) - Used conversion factor of 0.3048 meters per foot - Maintained 4 significant figures as requested