Houses are arranged in a school compound. Thus, Blue house is 4 km due East of Red, Yellow is 3 km due South of Blue and Green is 4 km on a bearing of 230° from the Yellow. What is the distance and bearing of the Red house from Green house?

Answer 1

I will interpret "bearing of 230°" to mean -140° in standard trig notation

Using vectors:
vector RG = (4,0) + (0,-3) + (4cos-140°, 4sin-40°)
= (4,-3) + (-3.0412, -2.57115)
= (.9358, -5.5712)

|RG| = √(.9358^2 + (-5.5712)^2) = appr 5.65 km

direction of RG :
tanØ = -5.5712/.9358
Ø = -80.46°
So in my diagram , that would make the angle between GR and a vertical equal to 9.54°
and using your notation , a bearing of 350.46°

Answer 2

No diagram?