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#12633

trigonometry

geometry

right triangles

hard

120 sec

Triangle $A BC$ is similar to triangle $X Y Z$ , where angle $A$ corresponds to angle $X$ and angles $C$ and $Z$ are right angles. The length of $\overline{A B}$ is $1.5$ times the length of $\overline{X Y}$ . If $cos A = \frac{5}{13}$ , what is the value of $sin X$ ?

• 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.