find su. write your answer as an integer or as a decimal rounded to the nearest tenth. su =

Explanation:

Step1: Identify trigonometric relation

In right - triangle $STU$, $\cos U=\frac{UT}{SU}$.

Step2: Substitute known values

We know that $U = 63^{\circ}$ and $UT=\sqrt{17}$. Since $\cos U=\cos63^{\circ}\approx0.454$ and $\cos U=\frac{UT}{SU}$, then $SU=\frac{UT}{\cos U}$.

Step3: Calculate SU

$SU=\frac{\sqrt{17}}{\cos63^{\circ}}$. First, $\sqrt{17}\approx4.123$, and $\cos63^{\circ}\approx0.454$. So $SU=\frac{4.123}{0.454}\approx9.1$.

Answer:

$9.1$