60 is the (20 pts) A space truss structure similar to one shown in the left figure can be considered as a system of concurrent forces in 3D. A force diagram of a hypothetical space truss joint is shown in the right figure showing four forces TA, TB, TC and TD. Force Tc is located on the x-z plane. Force Tg has two projection angles: 0 = projection angle of the force TB to the x-y plane, and a = 30 is the angle between the projected force and the x axis. Force TD acts along line OD, and force TA is located as shown in the right figure below. If it is known that force TB is 100 kips and the system of forces is in equilibrium condition, calculate the magnitude of the forces TA, TC, and TD. 127 TB Tc Z T D (-3, 2,6) ft TA y 3 ft 6 ft a 2 ft X