College

Kathryn is 1.55 m tall. Convert her height to feet. Round to the nearest tenth.

Recall that 1 ft = 12 in, 1 in = 2.54 cm, and 1 m = 100 cm.

Provide your answer below:

Answer :

To convert Kathryn's height from meters to feet, we follow these steps:

1. Convert meters to centimeters.
Since 1 meter is equal to 100 centimeters, we convert Kathryn's height in meters to centimeters:
[tex]\[
1.55 \, \text{m} \times 100 = 155 \, \text{cm}
\][/tex]

2. Convert centimeters to inches.
We know that 1 inch is equal to 2.54 centimeters. To find the height in inches:
[tex]\[
\frac{155 \, \text{cm}}{2.54 \, \text{cm/in}} \approx 61.02 \, \text{in}
\][/tex]

3. Convert inches to feet.
Since 1 foot is equal to 12 inches, we convert the height in inches to feet:
[tex]\[
\frac{61.02 \, \text{in}}{12 \, \text{in/ft}} \approx 5.09 \, \text{ft}
\][/tex]

4. Round to the nearest tenth.
We round the height in feet to the nearest tenth:
[tex]\[
5.1 \, \text{ft}
\][/tex]

So, Kathryn's height is approximately 5.1 feet when rounded to the nearest tenth.