Let's first make a diagram of the problem:
What we must find is the value of the line that is shown in green. For this we can first find the other two measures of the triangle, like this:
[tex]635\frac{mi}{h}\cdot1.5h=952.5\text{ mi}[/tex]
And
[tex]635\frac{mi}{h}\cdot2=1270\text{ mi}[/tex]
Since we have the measures of two of the sides and the angle opposite the one we want to find, we can use the cosine theorem:
[tex]a^2=952.5^2+1270^2-2(952.5)(1270)\cdot\cos (170_{})[/tex][tex]a=2214.22\text{ mi}[/tex]
She is 2214.22 miles far from the starting point.
