Answer:
Step-by-step explanation:
There is a point V with ration 6 to 2, therefore we must find the coordinates of point V and the distance from A to V
According to the graph
[tex]c^{2}=x^{2}+y^{2}\\c^{2}=8^{2}+4^{2}\\c=\sqrt{64+16}=8.9.4\\sin\alpha =\frac{4}{8.94}[/tex]
α≅27°
V=2*8.94/6 (ratio 6:2)
V=2.98mile
[tex]sin27=\frac{y}{2.98}\\y=sin27*2.98=1.35\\cos27=\frac{x}{2.98}\\x=cos27*2.98=2.65[/tex]
coordinates of V = (2,65;1.35)
Distance from A to V
[tex]d_{AV}=2.98 miles[/tex]
finally
Mary's mistake is to take the 6 to 2 ratio as the distance traveled from the globe only in the x direction
