Mathematics · Trigonometry

Triangle ABC is similar to triangle DEF, where A corresponds to D and C corresponds to F. Angles C and F are right angles. If tan(A) = √3 and DF = 125, what is the length of DE?

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Triangle ABC is similar to triangle DEF, where A corresponds to D and C corresponds to F. Angles C and F are right angles. If tan(A) = &radic;3 and DF = 125, what is the length of DE?