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#33613

trigonometry

right triangles

geometry

medium

60 sec

Triangle $RST$ is similar to triangle $U VW$ , where angle $R$ corresponds to angle $U$ and angles $T$ and $W$ are right angles. The length of $\overline{RS}$ is $1.5$ times the length of $\overline{U V}$ . If $sin R = \frac{8}{17}$ , what is the value of $cos U$ ?

• 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.