Question

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

Explanation:

Step1: Identify trigonometric ratio

We have a right triangle $\triangle VWX$, right-angled at $W$. We know $\angle V = 63^\circ$, side $VW = 2$ (adjacent to $\angle V$), and we need to find $VX$ (the hypotenuse). Use the cosine ratio: $\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$.
$\cos(63^\circ) = \frac{VW}{VX}$

Step2: Rearrange to solve for VX

Rearrange the formula to isolate $VX$:
$VX = \frac{VW}{\cos(63^\circ)}$

Step3: Substitute values and calculate

Substitute $VW=2$ and $\cos(63^\circ) \approx 0.4540$:
$VX = \frac{2}{0.4540} \approx 4.4$

Answer:

$4.4$