Physics Physics Vector question Help Why is this soo hard????

Question

There are three vectors: A,B,C. Vector A is 70.0 units East of North creating an angle of 28.0 degrees. Vector B is 40.0 units West of North creating an angle of 56.0 degrees. Vector C is 46.8 units straight down South. Their magnitudes are given in arbitrary units. Determine the sum of the three vectors.

a) Give the resultant in terms of components.
Rx = 39.44
Ry = .....?

(b) What is the magnitude of the resultant?

What is the resultant's angle above the +x axis?
.......°


Please help me to do this question. I got Rx = 39.44 by using 70 cos 28 + -40 cos 56 + 46.8 cos 90

help me how to find Ry???????? please
and show me the work also..Thanks :)))))

I checked that Rx=39.44 is RIGHT but what it Ry???????????????????????????????????????

Answer 1

I solved it this manner. I'm not very sure of the results.

I think that x axis is W-E and y axis is N-S

Rx = B*cos(56-45) - Asin(28+45) =
= 40*0.981 - 70*0.956 =
= 39.265 - 66.941 =
= -27.676 (27.676 in module)
Ry = A*cos(45-28) - C =
= 70*0.956 - 46.8 =
= 20.141