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#12635

trigonometry

geometry

right triangles

hard

120 sec

Triangle $G H I$ is similar to triangle $J K L$ , where angle $G$ corresponds to angle $J$ and angles $I$ and $L$ are right angles. The length of $\overline{G H}$ is $0.8$ times the length of $\overline{J K}$ . If $sin G = \frac{7}{25}$ , what is the value of $tan J$ ?

• 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.