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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...Asked by Wesley
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?
Answers
Answered by
Reiny
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°
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°
Answered by
Msendoo
No diagram?
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