A bird is perched on the top of a tree \(40\) \(m\) high. The angle of elevation of the bird from a point on the ground is \(45^\circ\). The bird flies horizontally away from the point of observation, keeping its height constant. After \(4\) seconds, the angle of elevation of the bird becomes \(30^\circ\). Find the speed of the bird.
 
Answer: 
 
Speed of the bird \(=\) \(m/s\)
 
Note: Round off to two decimal places.