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

Explanation:

Step1: Identify the tangent - ratio

In right - triangle $UVW$, $\tan V=\frac{UW}{VW}$. Here, $UW = 7$ and $VW = 3$.

Step2: Calculate the tangent value

$\tan V=\frac{7}{3}\approx2.333$.

Step3: Find the angle

We know that if $\tan V = x$, then $V=\arctan(x)$. So $V=\arctan(2.333)$. Using a calculator, $V\approx66.8^{\circ}$.

Answer:

$66.8$