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The angular resolution limit of the human eye is about 1 arc minute. Two people stand side by side with a lateral gap of 3 m, at a distance of x km from an observer. For the two people to be just barely resolved by the naked eye, x is approximately:

1. 10 km
2. 15 km
3. 20 km
4. 30 km

Correct answer: 10 km

Solution

1' ~ 2.9*10⁻⁴ rad. Setting 3/(x*1000) = 2.9*10⁻⁴ gives x ~ 10 km.

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