A 6-m long painter's ladder is leanig against a wall. If the top of the ladder makes an angle of 45° with the wall, how far is the foot of the ladder from the wall?
We have
sin(45) = d / 6 where d is the distance from the wall
Rearrange
d = 6sin(45) = [6 / √2 ] ft = about 4.24 ft