Geometry
posted by Kayla
three security cameras were mounted at the corners of a triangular 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 1
None
Camera 3
Camera 2 **
or camera 3 I'm not sure

Reiny
direct application of the cosine law,
using the fact that the largest angle is opposite the largest side ....
158^2 = 110^2 + 137^2  2(110)(137)cosØ
30140 cosØ = 5905
cosØ = .195919...
Ø = appr 78.7°
Answer accordingly.
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