Problem 3 (30 points) A 200 LBm homogeneous gate is 10 ft wide (into the plane of the paper) and 5 ft long. The gate is hinged at point A and held in place by a 12 ft long brace as shown. As the bottom of the brace is moved to the right, the water level is assumed to always remains at the very top of the gate. Determine the magnitude of the force exerted on the gate by the brace at the following angles ,0. 1. Angle 0= 90 degrees;Angle 0= 60 degrees;Angle 0= 45 degrees;Angle 0= 30 degrees;