truss: simply supported right-angle triangle truss

A simple supported right-angle triangle truss of 1/2( 5 x 12 ) meter square, is subjected with 50KN and 25KN at the mid-span and top end of the truss respectively. The truss is having two internal members one acting horizontal at the mid-span and the other acting diagonal from support A to joint at a point on the slanted side of right angle triangle.
Taking into account that the pined support is on the right and the roller on the left.
You are required to check the determinant and compute the reactions of this truss.

solid geometry

A concrete dam of hieght 128 ft. was built in a gorge. One side AB of the gorge slopes at an angle of 60 degrees, the other side CD at 45 degrees. The bases of the dam are horizontal and rectangular in shape. The lower base is 1215 ft. by 152 ft., and the upper base is 32 ft. wide. How many cubic yards of concrete were required?

solid geometry

Powder grain manufactured for the use of the large guns are small cylinders (composed of a nitrocellulose compound) with a number of longitudinal perforations. if each grain is 3/4 diameter, 1 3/4 in. long, and contains 7 cylindrical perforations 1/8 in. in diameter, find the amount of material in single grain.