A boy kicks a football horizontally from the roof of a building of height 10m, . If the line joining the initial position of the football and the point where it hits the ground make an angle of `45^(@)` with the ground, then find the displacement of the football

Explanation

The situation is as show in the following diagram.

The height of the building is respresented by AO. The football is hit from point A and it hits thr ground at B.
Triangle OABj is an isoseceles rigth-angled triangle. Therefore, , AO=OB=10m
`AB=sqrt(OA^(2)+OB^(2))=sqrt(10^(2)+10^(2))=sqrt(200)`
`AB=10sqrt(2)m`
Displacement `=10sqrt(2)m`