High School

Convert 5.50 feet into meters using dimensional analysis. Round your answer to two decimal places. Assume 1 meter = 3.28 feet.

A. 1.67 meters
B. 1.68 meters
C. 1.69 meters
D. 1.70 meters

Answer :

Final answer:

To convert 5.50 feet to meters, multiply by the factor (1 meter / 3.28 feet), resulting in 1.68 meters after rounding to two decimal places.

Explanation:

To convert 5.50 feet into meters using dimensional analysis, we start with the given value and use the conversion factor 1 meter = 3.28 feet. The calculation can be set up as follows:

5.50 feet × (1 meter / 3.28 feet)

When we perform the multiplication, the feet units cancel out, leaving us with the measurement in meters. After calculating, we get:

(5.50 / 3.28) meters = 1.67682927 meters

After rounding the result to two decimal places, we obtain 1.68 meters, which corresponds to option B.

option B.

To convert 5.50 feet into meters using dimensional analysis, we multiply the value in feet by the conversion factor from feet to meters. Since 1 meter is equivalent to 3.28 feet, the conversion factor to go from feet to meters is 1 meter/3.28 feet. The calculation can be set up as follows:

5.50 feet times rac{1 meter}{3.28 feet} = 1.67682927 meters

When we round this value to two decimal places, we get approximately 1.68 meters. Therefore, the answer that matches this calculation is B. 1.68 meters.