Answer:
19.32 miles
Step-by-step explanation:
AB =10 miles
∠ABC = 106°
BC = 14 miles
Now we are supposed to find AC
We will use cosine law
[tex]c^2=a^2+b^2-2ab cos C[/tex]
[tex]AC^2=AB^2+BC^2-2(AB)(BC) cos 106^{\circ}[/tex]
[tex]AC^2=100+196+77.1784596[/tex]
[tex]AC^2=373.1784596[/tex]
[tex]AC=\sqrt{373.1784596}[/tex]
[tex]AC=19.31782[/tex]
Thus it will travel 19.32 miles on the last leg of the trip .
