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#33614

trigonometry

right triangles

geometry

hard

90 sec

Triangle $A BC$ is similar to triangle $D EF$ , where angle $A$ corresponds to angle $D$ and angles $C$ and $F$ are right angles. If $tan A = \frac{15}{8}$ and the length of side $\overline{D F}$ is $24$ , what is the length of side $\overline{EF}$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.