To find the length of the hypotenuse \( c \) in a right triangle with legs \( a \) and \( b \), we can use the Pythagorean theorem:
\[ c = \sqrt{a^2 + b^2} \]
Given \( a = 7 \) kilometers and \( b = 6 \) kilometers, we can substitute these values into the formula:
\[ c = \sqrt{7^2 + 6^2} \]
Calculating the squares of \( a \) and \( b \):
\[ 7^2 = 49 \quad \text{and} \quad 6^2 = 36 \]
Adding these values together:
\[ c = \sqrt{49 + 36} = \sqrt{85} \]
Now we need to calculate \( \sqrt{85} \).
\[ \sqrt{85} \approx 9.21954445729 \]
Rounding this to the nearest tenth:
\[ c \approx 9.2 \text{ kilometers} \]
Thus, the length of the hypotenuse \( c \) is approximately \( \boxed{9.2} \) kilometers.
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