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

Answer:

4.1

Explanation:

Step1: Identify trigonometric ratio

In right - triangle $QRS$ with right - angle at $Q$, we use the tangent function. $\tan R=\frac{QS}{QR}$.

Step2: Substitute known values

We know that $R = 34^{\circ}$ and $QR = 6$. So $\tan34^{\circ}=\frac{QS}{6}$.

Step3: Solve for $QS$

Since $\tan34^{\circ}\approx0.6745$, then $QS = 6\times\tan34^{\circ}$. $QS=6\times0.6745 = 4.047\approx4.1$.