Fоur dоgs nаmed Astrо, Bаlto, Clifford, аnd Dug play a tug-of-war game with a toy (Figure ). Astro pulls onthe toy in direction south of east, Balto pulls in direction east of north, and Clifford pulls indirection west of north. Astro pulls strongly with 150.0 units of force (N), which we abbreviate as A =150.0 N. Balto pulls even stronger than Astro with a force of magnitude B = 180.0 N, and Clifford pulls with aforce of magnitude C = 120.0 N. When Dug pulls on the toy in such a way that his force balances out theresultant of the other three forces, the toy does not move in any direction. With how big a force and in whatdirection must Dug pull on the toy for this to happen?