How do you solve this using the component method?

56n, northwest + 38n, 75 degrees east of north

56n @ (90+45) deg = 56n @ 135 deg.

36n @ (90-75)deg = 36n @ 15 deg.

X = hor. = 56n*cos135 + 36n*cos15 =
-39.6n + 34.8n = -4.8n.

Y = ver. = 56n*sin135 + 36n*sin15 =
39.6n + 9.3n = 48.9n.

tanA = Y/X = 48.9n / -4.8n = -10.19,
A = -84.4 deg,CW = -84.4 + 180 = 95.6
deg,CCW.

R = x/cosA = -4.8n / cos95.6 = 49.2n
@ 95.6 deg.