Answer: 110 yards.
Step-by-step explanation:
According to the cosine formula,
In a triangle, if a and b are two consecutive sides and x is the angle between them, then the measure of the third side (c) is given by:-
[tex]c=\sqrt{a^2+b^2-2ab\cos x}[/tex]
As per given, a= 70 yards , b= 95 yards , x= 82 degrees
The final side = [tex]\sqrt{(70)^2+(95)^2-2(70)(95)\cos 82^{\circ}}[/tex]
[tex]=\sqrt{4900+9025-13300(0.139173)}\\\\=\sqrt{13925-1851} \\\\=\sqrt{12074}\\\\\approx110\text{ yards}[/tex]
I.e. the length of the final side of the plot is 110 yards.
