solve for $x$. round to the nearest tenth of a degree, if necessary.\nanswer\nattempt 1 out of 3\n$x =…

solve for $x$. round to the nearest tenth of a degree, if necessary.\nanswer\nattempt 1 out of 3\n$x = square^{circ}$

solve for $x$. round to the nearest tenth of a degree, if necessary.\nanswer\nattempt 1 out of 3\n$x = square^{circ}$

Answer

Explanation:

Step1: Identify trigonometric ratio

In right - triangle $\triangle UVW$, we know the opposite side ($6.1$) and adjacent side ($3.2$) to angle $x$. We use the tangent ratio $\tan x=\frac{\text{opposite}}{\text{adjacent}}$. So, $\tan x=\frac{6.1}{3.2}$.

Step2: Solve for $x$

We have $x = \arctan(\frac{6.1}{3.2})$. Using a calculator, $\frac{6.1}{3.2}=1.90625$, and $x=\arctan(1.90625)$. Calculating $\arctan(1.90625)\approx62.3^{\circ}$.

Answer:

$62.3$