Three security cameras were mounted at the corners of a triangles parking lot. Camera 1 was 110 ft from camera 2, which was 137 ft from camera 3. Cameras 1 and 3 were 158 ft apart. Which camera had to cover the greatest angle

Camera 2nd has to cover the maximum angle, i.e. .

Step-by-step explanation:

Please have a look at the triangular park represented as a triangle with sides

a = 110 ft

b = 158 ft

c = 137 ft

1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.

We can use law of cosines here, to find out the angles

As per Law of cosine:

Putting the values of a,b and c to find out angles .

Camera 2nd has to cover the maximum angle, i.e. .