Answer:
w ≈ 33.9 in
Explanation:
Using Pythagoras' identity in the right triangle
w² + w² = 48²
2w² = 2304 ( divide both sides by 2 )
w² = 1152 ( take the square root of both sides )
w = ≈ 33.9 in ( to the nearest tenth )
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≈ 33.9 in ( to the nearest tenth )