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

Explanation:

Step1: Recall tangent - ratio formula

In right - triangle $VXW$ with right - angle at $V$, $\tan X=\frac{opposite}{adjacent}$. Here, the side opposite to $\angle X$ is $VW = 5$ and the side adjacent to $\angle X$ is $VX=2.1$. So, $\tan X=\frac{VW}{VX}=\frac{5}{2.1}$.

Step2: Find the angle using inverse tangent

We know that if $\tan X = a$, then $X=\arctan(a)$. So, $X=\arctan(\frac{5}{2.1})$. Using a calculator, $\arctan(\frac{5}{2.1})\approx67.2^{\circ}$.

Answer:

$67.2$