calculate the magnitude and direction of the resultant of two vectors 5N and 7N inclined at an angle 30° to each other

Answer 1

Lets measure angles from the 7N vector.

R=7@0 + 5@30=7@0 + 5*cos30@O + 5Sin30@90

so figure each of those out, and combine the two at zero degrees.

magnitude:
sqrt((@zerosum)^2+(@90vector)^2)

direction:
arctheta [(@90vector)/(@0vector)]

Answer 2

Fr = 5[0o] + 7[30o].

X = 5 + 7*Cos30 = 11.1 N.
Y = 7*sin30 = 3.5 N.

Fr = X + Yi = 11.1 + 3.5i = 11.6N.[17.5o]. = Resultant force.