Question

Can someone check my work?

Answer 1

Two tugboats that are a=125 ft apart pull a barge. If the length of one cable is b=218 ft and the length of the other is c=225 ft, find the angle formed by the two cables. (Round your answer to the nearest degree.)
My Work: \[225^2=125^2+218^2-2(125)(218)\cos \theta\]\[50625=63149-54500\cos\theta\]\[\frac{ -12524 }{ -54500 }=\frac{ -54500\cos \theta }{ -54500 }\]\[\cos \theta= \frac{ -12524 }{ -54500 }=\frac{ 3131 }{ 13625 }\]\[\cos^{-1} (\frac{ 3131 }{ 13625 })=76.7148108194\]
The answer I got is rounded to 77 but webassign won't take it.