An aircraft flies 500km from an airport A on a bearing of 070 degree to arrive at airport B.The plane then flies 800km from airport B on a bearing of 035 degree to arrive at airport C. Calculate the bearing of C from A?
To calculate the bearing of C from A, we need to find the angle formed by the two flight paths from A to B and from B to C.
First, let's find the angle formed by the flight path from A to B:
Tan θ = opposite / adjacent
Tan θ = 500 / 800
Tan θ = 0.625
θ = Tan^-1(0.625)
θ ≈ 31.81 degrees
This means the angle formed by the flight path from A to B is 31.81 degrees.
Now, to find the bearing of C from A, we add 070 degrees to 31.81 degrees:
070 + 31.81 ≈ 101.81
Therefore, the bearing of airport C from airport A is approximately 102 degrees.