A ladder 10m long rests against a vertical wall making an angle of 60∘ with the horizontal ground.
a. (i) Draw a rough labelled diagram showing the ladder, the wall and the ground, and mark the given angle.
b. (ii) Calculate the height (to the nearest centimetre) at which the ladder touches the wall.
c. (iii) Determine the horizontal distance of the foot of the ladder from the wall.