Answer:
X1 = 65 cos 65 = 27.5 m
X2 = 70 cos 145 = -57.3
X = X1 + X2 = 27.5 - 57.3 = -29.8 m
Y1 = 65 sin 65 = 58.9 m
Y2 = 70 sin 145 = 40.2 m
Y = 58.9 + 40.2 = 99.1
tan Θ = Y / X = 99.1 / -29.8 = -3.33 =
Θ = -73.3
Examination shows that (X negative, Y positive) will be in the second quadrant and Θ = 180 - 73.3 = 106.7 from the positive x-axis or
73.3 above the negative x-axis
Note that -99.1 / 29.8 = - 3.33 requires -y and +x which is in the 4th quadrant and 180 deg from the above vector
