In the attached pic, I don't know how the answer for A + B + C + D has a magnitude of 29 and a direction of 157° from x (or 23° N of W)

My solution shown below:

Choosing up and to the right as positive directions, and rounding to two decimal places:

Ax = +15cos60°=7.5

Ay = +15sin60°=12.99

Bx = 10

By = 0

Cx = 0

Cy = -25

Dx = -50cos28°= -44.15

Dy = -50sin28°= -23.47

Sum in x-direction: -26.65

Sum in y-direction: -35.48

|R|=[tex]\sqrt{(-26.65)^2+(-35.48)^2}[/tex] = 44.37

\theta = tan^(-1)=(-35.48/-26.65) = 53.09° South of West

But the answer provided is |R| = 29 and /theta = 23° N of W

Can anyone help?