Question 329109
We can use the law of cosines to find an angle, then it all begins to fall into place.

We have 3 sides and need to find the angle.

camera 1 is angle A, camera 2 is angle B and camera 3 is angle C.

Law of cosines:

{{{121=sqrt(140^2+158^2-2(140)(158)cos(A))}}}

{{{A=47.44}}} degrees.

Now, we can use the law of sines or cosines to find another angle. The third angle can then be found by subtracting the other two from 180.

Law of sines:

{{{121/sin(47.44)=140/sin(B)}}}

{{{B=58.45}}} degrees at camera 2.

Therefore, the other angle C = 180-(47.44+58.45)=74.11 degrees at camera 3.

angle C at camera 3 gives the largest sweep of the lot.  This makes sense because the side opposite angle C is side c, it is the longest length of 158. The distance between camera 1 and 2.