A ladder of length 6m leans against a vertical wall so that the base of the ladder is 2mm from the wall. What is the angle between the ladder and the...

The length of
the ladder is 6m. Let the angle between the ladder and the wall be A.

The
base of the ladder is 2 mm away from the wall.

As we know the distance of the
ladder from the wall and its length, we can calculate the sine of the angle A.

sin A = (2/1000)/6

=> sin A = 1/3000

A = arc
sin (1/3000)

=> A = 0.019 degrees

The
angle between the wall and the ladder is 0.019 degrees.