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slega [8]
3 years ago
11

A typical television newscast has three cameras. The center camera directly faces the news anchors desk. The other two cameras a

re both angled 45 degrees away from the center camera. Suppose each camera has a field of 60 degrees. What is the total angle covered by the three cameras?
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0
<span>150 degrees. Let's assume the center camera is pointed to at an angle of 0 degrees. Since it has a coverage of 60 degrees, then it will cover the angles from -30 to +30 degrees. Now we'll continue to use the +/- 30 degree coverage for the other two cameras. The second camera is aimed at 45 degrees, so it's range of coverage is 15 degrees to 75 degrees (45 +/- 30). Notice that the range from 15 degrees to 30 degrees is covered by 2 cameras. Now the 3rd camera is pointed at -45 degrees, so its coverage is from -15 degrees to -75 degrees. It also has an overlap with the 1st camera from -15 to -30 degrees. The total coverage of all three cameras ranges from -75 degrees to 75 degrees. That means that an arc of 150 degrees in total is covered by all three cameras.</span>
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