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**+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**+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