A 4 m ladder rests against a vertical wall with its foot 2 m from the
wall. How far up the wall does the ladder reach?
Answers
Hope the pic helps you...
Answer :-
◍ The height of the wall is 2√3 m.
Correct Question :-
A 4 m ladder rests against a vertical wall with its foot 2 m away from the wall. How far up the wall does the ladder reach?
Given :-
✧ Length of the ladder = 4m
✧ The distance between the foot of the ladder and the wall = 2m
To find :-
・The height of the wall
Solution :-
Diagram of the solution is in the attachment.
In the diagram,
AB = Ladder = Hypothenuse
AC = The distance between the foot of the ladder and the wall = Base
BC = Height of the wall = Perpendicular
We will use the Pythagoras theorem to find the height of the ladder.
According to Pythagoras Theorem,
→ In a right angled triangle the square of hypotenuse is equal to the sum of square of other two sides.
Substituting the value we have,
=> (AB)² = (AC)² + (BC)²
=> (4m)² = (2m)² + (BC)²
=> 16m² = 4m² + (BC)²
=> 16m² - 4m² = (BC)²
=> 12m² = (BC)²
=> 2√3 m = BC
The height of the wall = 2√3 m