Let's draw a diagram of this problem:
This triangle can be seen as follows:
We can use the Law of Cosines to find the length of side c, since we know the measure of angle C:
[tex]c^2=a^2+b^2-2ab\cos (C)[/tex]In our case:
[tex]c^2=105^2+60^2-2(105)(60)\cos (69.3)[/tex][tex]c^2=11025+3600-12600\cos (69.3)=14625-12600\cos (69.3)[/tex]Taking the square root of both sides we get:
[tex]c=\sqrt[]{14625-12600\cos (69.3)}[/tex]which, using a calculator or online resource to calculate the right side of the equation will give us:
[tex]c=100.9[/tex]To the nearest yard, A and B are 101 yards apart, so option A. is correct.
