SOLUTION: Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 158 ft from camera 2, which was 121 ft from Camera 3. Cameras 1 and 3 were 140 ft apart

Question 329109: Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 158 ft from camera 2, which was 121 ft from Camera 3. Cameras 1 and 3 were 140 ft apart. Which camera had to cover the greatest angle?
a. camera 2 b. camera 1 c. cannot tell d. camera 3
Answer by galactus(183) (Show Source): You can put this solution on YOUR website!
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:

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:

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.
RELATED QUESTIONS
4. A quality-control procedure for testing ready-flash disposable cameras consists of... (answered by edjones)

A security camera needs to be set so that it's angle of view includes the area from a... (answered by josgarithmetic)

A quality-control procedure for testing digital cameras consists of drawing two cameras... (answered by Boreal)

RATSA is planning to enforce speed limits along Great North road by using speed cameras... (answered by ikleyn)

A closed circuit television camera is mounted on a wall 7.4 feet above a security desk in (answered by stanbon)

Your local computer store is having a terrific sale on digital cameras. After a 40% price (answered by josgarithmetic)

A panoramic photo can be taken using a hyperbolic mirror. The camera is pointed toward... (answered by MathLover1,ikleyn)

Rapheal paid $1,148 for a camera during a 30% off sale. What was the cameras regular... (answered by jim_thompson5910)

Raphael paid 1106 for a camera during a 30% off sale. what was the cameras regular... (answered by rfer)