find m∠x.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nm∠x = □°

Explanation:

Step1: Identify the trigonometric ratio

In right - triangle $VWX$ with right - angle at $V$, we know the opposite side ($VW = 2.3$) and the adjacent side ($VX=4.1$) to angle $X$. We use the tangent function, $\tan(X)=\frac{\text{opposite}}{\text{adjacent}}$. $\tan(X)=\frac{VW}{VX}=\frac{2.3}{4.1}$

Step2: Calculate the value of $\tan(X)$

$\tan(X)=\frac{2.3}{4.1}\approx0.561$

Step3: Find the measure of angle $X$

We use the inverse - tangent function, $X = \tan^{- 1}(0.561)$. $X=\tan^{-1}(0.561)\approx29.3^{\circ}$

Answer:

$29.3$