A sign for a pizza restaurant hangs from a 2.60-m long rod extended out from a building. A cable, attached to the building, is attached to the rod at a point that is 2.10 m from the hidge. (See the figure.) The mass of the rod is 5.10 kg. The mass of the sign is 7.30 kg. The angle between the building and the rod is 75.0 degrees. The angle between the cable and the horizontal is 24.0 degrees. The tension in the cable is 183.4 N. What is the horizontal component of the reaction force from then hinge on the rod?

A sign for a pizza restaurant hangs from a 2.60-m long rod extended out from a building. A cable, attached to the building, is attached to the rod at a point that is 2.10 m from the hidge. (See the figure.) The mass of the rod is 5.10 kg. The mass of the sign is 7.30 kg. The angle between the building and the rod is 75.0 degrees. The angle between the cable and the horizontal is 24.0 degrees. The tension in the cable is 183.4 N. What is the horizontal component of the reaction force from then hinge on the rod?