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Let's use Pythagorean Theorem to solve this problem:
[tex]\sqrt[]{74}^2=w^2+7^2[/tex][tex]74=w^2\text{ + 49}[/tex]Solving for w:
[tex]\begin{gathered} w\text{ = }\sqrt[]{74\text{ - 49}} \\ w\text{ = 5} \end{gathered}[/tex]w = 5ft