We can use the Pythagorean theorem to find the length of the hypotenuse \( JW \) in the right triangle. The Pythagorean theorem states:
\[ a^2 + b^2 = c^2 \]
where \( a \) and \( b \) are the lengths of the legs of the triangle, and \( c \) is the length of the hypotenuse. In this case:
- \( JE = 4.8 \) (one leg)
- \( EW = 28.6 \) (the other leg)
- \( JW \) is the hypotenuse which we want to find.
Substituting the known values into the Pythagorean theorem:
\[ (4.8)^2 + (28.6)^2 = JW^2 \]
Calculating \( (4.8)^2 \):
\[ (4.8)^2 = 23.04 \]
Calculating \( (28.6)^2 \):
\[ (28.6)^2 = 817.96 \]
Now, substituting these values back into the equation:
\[ 23.04 + 817.96 = JW^2 \]
Adding the two results:
\[ 841 = JW^2 \]
To find \( JW \), take the square root of both sides:
\[ JW = \sqrt{841} \]
Calculating the square root:
\[ JW = 29 \]
Thus, the length of the hypotenuse \( JW \) rounded to the nearest tenth is:
\[ \boxed{29.0} \]