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#12634

trigonometry

geometry

right triangles

hard

120 sec

Triangle $PQR$ is similar to triangle $ST U$ , where angle $P$ corresponds to angle $S$ and angles $R$ and $U$ are right angles. The length of $\overline{PQ}$ is $3$ times the length of $\overline{ST}$ . If $tan P = \frac{8}{15}$ , what is the value of $cos S$ ?

• 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.