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Three airports A, G, E forms a triangle. Airport G has a bearing of 52 degrees to airport A. Airport A has a bearing of 216 degrees to airport E. Airport G is 200 feet from Airport A and Airport E is 160 feet from Airport A. How far sorts are airports G and E? What is the bearing of airport E to airport G?

Guest Dec 22, 2014

Best Answer 

 #1
avatar+93365 
+16

I find the wording of this question confusing.

I will change it to indicate the question that I am answering.   

 

Three airports A, G, E forms a triangle. Airport G has a bearing of 52 degrees FROM airport A. Airport A has a bearing of 216 degrees FROM airport E. Airport G is 200 feet from Airport A and Airport E is 160 feet from Airport A. How far sorts are airports G and E? What is the bearing of airport E FROM airport G?

 

I have drawn this diagram to scale.  Getting the sketch right is always the trickiest bit.

 

Use cosine rule to find the length of EG

 

Then use sine rule to find angle  $$\theta$$  

 

The bearing of E from G is (180+52+$$\theta$$ ) degrees

 

 

Melody  Dec 22, 2014
 #1
avatar+93365 
+16
Best Answer

I find the wording of this question confusing.

I will change it to indicate the question that I am answering.   

 

Three airports A, G, E forms a triangle. Airport G has a bearing of 52 degrees FROM airport A. Airport A has a bearing of 216 degrees FROM airport E. Airport G is 200 feet from Airport A and Airport E is 160 feet from Airport A. How far sorts are airports G and E? What is the bearing of airport E FROM airport G?

 

I have drawn this diagram to scale.  Getting the sketch right is always the trickiest bit.

 

Use cosine rule to find the length of EG

 

Then use sine rule to find angle  $$\theta$$  

 

The bearing of E from G is (180+52+$$\theta$$ ) degrees

 

 

Melody  Dec 22, 2014
 #2
avatar+88980 
+3

Very nice, Melody......I'm glad you figured this out.......this question WAS extremely confusing...!!!

 

CPhill  Dec 22, 2014
 #3
avatar+93365 
+5

Thanks Chris  

 

By the way these are airports for model planes.  Either that or it is Lilliput    

Melody  Dec 23, 2014

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