A ladder is placed against a wall in such a way that it's foot is at a distance of 12m from the wall and its top reaches a window 9m above the ground on the wall.find the length of the ladder
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ANSWER:-
Given:
Distance from wall=BC= 12m
Height of window= AC= 9m
To find:
Length of the ladder =AB?
Solution:
Since, the wall will be perpendicular to the ground.
angle ACB= 90°
∆ABC is a right angle triangle.
So,
Using Pythagoras theorem, we get;
(Hypotenuse)² =(Height)² + (Base)²
=) (AB)² = (AC)² + (BC)²
=) AB² = 9² + 12²
=) AB² = 81 + 144
=) AB² = 225
=) AB= √225
=) AB= 15m
Hence,
The length of the ladder=AB= 15m.
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