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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 airpo

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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

#1
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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
+92751
+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
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Very nice, Melody......I'm glad you figured this out.......this question WAS extremely confusing...!!!

CPhill  Dec 22, 2014
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+92751
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Thanks Chris

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

Melody  Dec 23, 2014