A ladder 4.5m long is placed against a wall in such a way that the foot of the ladder is 2.7m away from the wall. Find the height of the wall to which the ladder reaches.
Answers
Answer:
Step-by-step explanation:
By using Pythagoras theorem
Height of Wall Ladder reaches = √(Length of Ladder)^2 - (Distance of foot from wall)^2
=√(4.5)^2 - (2.7)^2
=√20.25-7.29
=√12.96
= 3.6 m
Hence, the ladder reaches a height of 3.6m to the wall.
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Step-by-step explanation:
ACCORDING TO THE GIVEN DIAGRAM:
LET THE LENGTH OF THE WALL BE X AND THE LENGTH OF LADDER BE THE HYPOTHENUSE SO THE DISTANCE FROM LADDER TO WALL WILL BE ITS BASE
Hypotenuse (H) =4.5 mtrs
base(B)=2.7 mtrs
height of wall(L) =x mtrs
According to Pythagoras theorem
(H)²=(L)²+(B)²
(4.5)²=(x)²+(2.7)²
(x)²=(4.5)²-(2.7)²
x²=20.25-7.29
x²=12.96
x=√12.96
x=3.6
THEREFORE THE HEIGHT OF THE WALL IS 3.6mtrs
plss see the diagram and then understand the answer if u seethe diagram clearly then u will able to understand Pythagoras theorem very easily
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