Final answer:
The ratio of the size of the television screen to the distance a person should sit from it is 1:6. To find the distance a person should sit from a 42 cm television, set up a proportion and solve for the unknown. The person should sit 252 cm away from the television.
Step-by-step explanation:
The ratio of the size of the television screen to the distance a person should sit from it is given as 1:6. We are asked to find the distance a person should sit from a 42 cm television. Let's set up a proportion:
Screen size / Distance to sit = 1 / 6
Plugging in the values, we get:
42 cm / Distance to sit = 1 / 6
Cross multiplying, we have:
42 cm * 6 = Distance to sit * 1
Simplifying, we find:
Distance to sit = 252 cm
Therefore, a person should sit 252 cm away from a 42 cm television.