The foot of a uniform ladder of length 10m is on rough horizontal ground while the top rests on a smooth vertical wall. The weight of the ladder is 300N, and a girl weighing 200N stands on the ladder a distance 3m from the bottom of the ladder. The ladder is inclined at an angle of 40 to the horizontal ground. Draw a free-body diagram of the ladder and find: i) the reaction force at the wall. [5] ii) the horizontal and vertical components of the force exerted by the ground on the foot of the ladder. [2] iii) the magnitude and direction of the resultant force exerted by the ground on the foot of the ladder. [3]