Is this correct?

Question

A point is pulled by two ropes: one to the left and up 34° with a magnitude of 5, the other to the right and up 16° with a magnitude of 7. What is the resultant force on the point?

(A) 28.98∠9.4°

(B) 5.38∠61.5°

(C) 0.85∠1.0°

(D) 6∠25.0°

(E) None of these

For this I got, (E) None of these. Is this correct?

Answer 1

Force - lateral direction (-,+):

5 * cos(34) - 7 * cos(16) = 4.15 - 6.72 = -2.58

Force in the upward direction (negative download, positive upward):

Resulting force is left and upward:

√((4.72543)^2 + (-2.58364)^2))= 5.38

at an angle of:

Tan^-1(4.72/(-2.58)) = -61.34°, or 28.66° above the horizontal