Ladder and wall
Geometry
Level
pending
A ladder leans against a vertical wall. The top of the ladder is 3m above the ground. When the bottom of ladder is moved 2m farther away from the wall, the top of ladder rests against the foot of the wall. Height of the ladder is?
4
13/4
9/2
5/4
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1 solution
Let foot of ladder is Xm away from foot of wall. Now when ladder is moved 2m it leans on the ground.so length of ladder is (x+2)m Now by Pythagoras theorem (X+2)२=2=x२+3२ X२+4x+4=x२+9 4x=5 X=5/4 Height of ladder=x+2=5/4 +2=13/4