A ladder of length 13m was kept at a distance of 5mfrom the building to reach a window on a building.At what height is the window from the ground.?
Solution:
Length of the ladder = 13 m
Distance of ladder from the wall = 5 m.
Height of the window = ?
As per Pythagoras theorem
Hypotenuse2 = Base2 + Perpendicular2.
Perpendicular2 = Hypotenuse2 - Base2
Here Base = 5 m and hypotenuse = 13 m.
So Perpendicular = √Hypotenuse2 - Base2
Perpendicular = √132 - 52 = √169 - 25 = √144 = 12 mts
So the height of the window = 12 mt