To convert a temperature from degrees Fahrenheit to degrees Celsius, we typically use the formula:
[tex]\[C = \frac{5}{9} (F - 32)\][/tex]
Here, [tex]\(F\)[/tex] is the given temperature in Fahrenheit, which is 69.8°F.
Step-by-step:
1. Subtract 32 from the given Fahrenheit temperature:
[tex]\[ 69.8 - 32 = 37.8 \][/tex]
2. Multiply the result by [tex]\(\frac{5}{9}\)[/tex]:
[tex]\[ \frac{5}{9} \times 37.8 \][/tex]
This simplifies to:
[tex]\[ C = \frac{5 \times 37.8}{9} = \frac{189}{9} = 21.0 \][/tex]
Therefore, the temperature 69.8°F is equivalent to 21°C.
Given this solution, the correct answer is:
[tex]\[ 21^{\circ} C \][/tex]
