Two persons simultaneously aim and fire their guns at a bird sitting on a tree. The first person fires his shot with a speed of `100 m//s` at an angle of projection of `30^(@)`. The second person is ahead of the first by a distance of `50 m` and fire his shot with a speed of `80 m//s`. how must he aim his gun so that both the shots hit the bird simultaneously. Calculate the distance of the foot of the tree from two persons and the height of the tree. With what velocities and when do the two shots hit the bird.