trig
posted by John .
A bolt secured to a bridge is being acted upon by forces being exerted by two cables attached to the bolt. The force vector for one of the cables is represented by F1 = <1.7,9.8>. The other force vector, F2, is known to have a magnitude 5 and a direction angle of 10 degrees. Determine the angle between the two cables that are attached to this bolt. (Round your answer to 2 decimal places.)

convert the first from rectangular to polar coordinates:
r^2 = 1.7^2 + 9.8^2 = 98.93
r = 9.95
tanθ = 9.8/1.7
θ = 80.16°
so, the angle between the vectors is 80.16  10 = 70.16°