A structural engineer is designing a special roof for a building. The roof is designed to catch rainwater and hold solar panels to collect sunlight for electricity. Each angled part of the roof exerts a downward force of 50 kg/m2, including the loads of the panels and rainwater. The building will need a load-bearing wall at the point where each angled roof meets. a. Calculate the force of the longer angled roof at the point where the roofs meet. b. Calculate the force of the shorter angled roof at the point where the roofs meet. c. Calculate the resultant force that the load-bearing wall must counteract to support the roof. d. Use the given lengths and angles to calculate the width of the building. e. If the point where the two roofs meet is moved 2 m to the left, calculate the angles that the sloped roofs will make with the horizontal and the length of each roof. Assume that only the point where the roofs meet can be adjusted and that the height of each roof will not change. f. Repeat parts a. to c., using the new angles you calculated in part e.