To convert the airplane's speed from kilometers per hour to miles per hour, we can use the conversion ratio provided (1 kilometer = 0.62 miles).
We start with the equation:
\[ \text{Speed in miles} = \text{Speed in kilometers} \times \text{Conversion factor} \]
Substituting the values we have:
\[ \text{Speed in miles} = 900 , \text{kilometers} \times 0.62 , \text{miles/kilometer} \]
Now, we perform the multiplication:
\[ \text{Speed in miles} = 900 \times 0.62 = 558 \]
Thus, the airplane's speed in miles per hour is 558 miles per hour.
The correct answer is D) 558.