Question

Distance of midpoint of ladder from ground is twice that from wall the height on wall the ladder is 8 root5 meter find the length of the ladder

Answer 1

Answer:

It is given that 

Length of ladder =6 m

Ladder reaches the wall to a height of 4.8 m

Consider AB as the ladder and AC as the height of the wall

AB=6 m and AC=4.8 m

Distance between the foot of ladder and wall is BC

Using Pythagoras theorem,

AB2=AC2+BC2

Substituting the values

62=4.82+BC2

By further calculation

BC2=62−4.82

BC2=36−23.04=12.96

So we get

BC=√12.96=3.6 m

Hence, the distance between the wall and the foot of the ladder is 3.6 m.