To find the length of the hypotenuse \( c \) of a right triangle given the lengths of the other two legs \( a \) and \( b \), you can use the Pythagorean theorem, which states:
\[ c^2 = a^2 + b^2 \]
Given:
- \( a = 30 \) meters
- \( b = 16 \) meters
Now, we can plug in the values:
\[ c^2 = 30^2 + 16^2 \] \[ c^2 = 900 + 256 \] \[ c^2 = 1156 \]
Now, take the square root of both sides to find \( c \):
\[ c = \sqrt{1156} \]
Calculating the square root:
\[ c \approx 34.0 \text{ meters} \]
Thus, the length of the hypotenuse \( c \) is approximately \( \boxed{34.0} \) meters.
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