Question

find ( mangle v ).

write your answer as an integer or as a decimal rounded to the nearest tenth.
( mangle v=) ( circ )

Explanation:

Step1: Identify the trigonometric ratio

In right - triangle $VXW$, we know the opposite side ($WX = 4$) and the adjacent side ($VX=8.2$) with respect to angle $V$. We use the tangent ratio: $\tan V=\frac{\text{opposite}}{\text{adjacent}}$.
So, $\tan V=\frac{WX}{VX}$.

Step2: Substitute the values

Substitute $WX = 4$ and $VX = 8.2$ into the formula: $\tan V=\frac{4}{8.2}$.
Calculate $\frac{4}{8.2}\approx0.4878$.

Step3: Find the angle

To find angle $V$, we use the inverse tangent function: $V=\tan^{- 1}(0.4878)$.
Using a calculator, $V\approx28.8^{\circ}$.

Answer:

$28.8^{\circ}$