The distance of the pigeon from the nest is 5.8 km.
In order to determine the distance of the pigeon from its nest, the Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
where:
3² + 5²
= 9 + 25
= 34
√34 = 5.8 km.
To learn more about Pythagoras theorem, please check: brainly.com/question/20936855?referrer=searchResults