A particle P of weight 1.4 N is attached to one end of a light inextensible string S₁ of length 1.5 m, and to one end of another light inextensible string S₂ of length 1.3 m. The other end of S₁ is attached to a wall at the point 0.9 m vertically above a point O of the wall. The other end of S₂ is attached to the wall at the point 0.5 m vertically below O. The particle is held in equilibrium, at the same horizontal level as O, by a horizontal force of magnitude 2.24 N acting away from the wall and perpendicular to it (see diagram). Find the tensions in the strings.