An astronaut in a maneuvering unit approaches a space station. At the present instant, the station informs him that his position relative to the origin of the station's coordinate system is r G evec {r}_G = 40 i bf{i} + 75 j bf{j} + 175 k(m) bf{k}(rm m) and his velocity is v evec {v} = 4.1 j bf{j} + 2.4 k(m/s) bf{k(rm m/s)} . The position of an airlock is r A evec {r}_A = 0 i bf{i} + 25 k(m) bf{k}(rm m) .
Determine the angle between his velocity vector and the line from his position to the airlock's position.