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Answer:

[tex]The~triangles~AED~and~ABC~are~similar.\\So,\\\frac{AD}{AB} = \frac{DE}{BC} [Corresponding~sides~of~similar~triangles~are~proportional.]\\or, \frac{30}{15} = \frac{34}{x} \\or, x = \frac{15(34)}{30} = 17inches[/tex]

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