Answer:
5.5
Step-by-step explanation:
We use right triangle XVW.
For <W, VX is the opposite leg.
WX is the hypotenuse.
The trig ratio that relates the opposite leg to the hypotenuse is the sine.
[tex] \sin W = \dfrac{opp}{hyp} [/tex]
[tex] \sin W = \dfrac{VX}{WX} [/tex]
[tex] \sin 43^\circ = \dfrac{VX}{8~mi} [/tex]
[tex] VX = 8~mi \times \sin 43^\circ [/tex]
[tex] VX = 5.5~mi [/tex]
