A ladder of length 5m leans against a nail on a vertical wall. It forms an angle of 60° with the ground. Find:
a) The height of the nail above the ground.
b) The distance of the foot of the ladder from the base of the wall.
c) The ratio of the height of the nail to the length of the ladder.
d) The ratio of the distance of the foot of the ladder to the length of the ladder.