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 length of the ladder represents the hypotenuse of the
right angle triangle, whose legs are the vertical wall from the top of the ladder to the
floor and the floor between the wall and the base of the
ladder.

Since the length of the  base is opposite to the
angle that has to be computed, we'll use the sine function to find out the measure of
the angle.

Let the angle be
t:

sin t = 2/6*1000

sin t =
1/3000

t = arcsin (1/3000)

t =
0.017 degrees

The requested angle between the
ladder and the wall is t = 0.017 degrees.