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?
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 θ
The bearing of E from G is (180+52+θ ) degrees
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 θ
The bearing of E from G is (180+52+θ ) degrees