What is the height in meters of a 5’4″ person?
The Correct Answer and Explanation is:
To convert the height of a person from feet and inches to meters, we need to follow a few simple steps.
Step 1: Understand the conversion factors
1 foot equals 0.3048 meters, and 1 inch equals 0.0254 meters.
Step 2: Break the height into feet and inches
The height of the person is given as 5 feet 4 inches. To convert this to meters, we first deal with the feet and then the inches.
Step 3: Convert feet to meters
For the feet portion (5 feet), we multiply by the conversion factor:
[
5 \, \text{feet} \times 0.3048 \, \text{meters/foot} = 1.524 \, \text{meters}
]
Step 4: Convert inches to meters
For the inches portion (4 inches), we multiply by the conversion factor for inches:
[
4 \, \text{inches} \times 0.0254 \, \text{meters/inch} = 0.1016 \, \text{meters}
]
Step 5: Add the results
Now, we add the two results together to get the total height in meters:
[
1.524 \, \text{meters} + 0.1016 \, \text{meters} = 1.6256 \, \text{meters}
]
Step 6: Round the result (if necessary)
The result of 1.6256 meters can be rounded to 1.63 meters for simplicity.
Final Answer:
A person who is 5 feet 4 inches tall is approximately 1.63 meters in height.
Explanation:
The conversion from feet and inches to meters requires an understanding of the respective conversion factors. The foot-to-meter conversion is based on a precise factor, as is the inch-to-meter conversion. By breaking down the height into feet and inches and converting each separately, we can accurately determine the total height in meters. These conversions are helpful in many contexts, particularly in regions that use the metric system, such as most of Europe and many scientific fields, where measurements in meters are standard.