A ladder is placed on a wall such that it is a distance of 5 m from the wall and it operates a window 5 root 3 metre above the ground find the length of led
Answers
Lets suppose the wall is a straight line, the window is above the ground.
The ladder is kept 5 m away from the wall.
So this will be a right angled triangle with the wall as the height and distance between the ladder and wall as the base.
Lets suppose the right angle triangle be ΔABC, where m∠B = 90°
AB = Height of the window from the ground = 5√3 meters
BC = Distance between the ladder and the wall = 5 meters
AC = Length of the ladder
Now, we know, by Pythagoras' Theorem,
In a right angled triangle, the square of the length of the opposite to the right angle is the sum of squares of lengths of other two sides.
In ΔABC, m∠B = 90°,
∴AC² = AB² + BC²
∴AC² = (5√3)² + (5)²
∴AC² = 75 + 25
∴AC² = 100
∴AC = 10 meters
∴The length of the ladder will be 10 meters.
Thank you :)