Answer:
[tex]26.903^{\circ}[/tex]
Step-by-step explanation:
a = 77 m
b = 72 m
c = Distance between the tugboats = 35 m
[tex]m\angle C[/tex] = Angle between the cables
[tex]c^2=a^2+b^2-2ab\cos C\\\Rightarrow m\angle C=\cos^{-1}\dfrac{c^2-a^2-b^2}{-2ab}\\\Rightarrow m\angle C=\cos^{-1}\dfrac{35^2-77^2-72^2}{-2\times 77\times 72}\\\Rightarrow m\angle C=26.903^{\circ}[/tex]
The angle formed between the cables is [tex]26.903^{\circ}[/tex].
