Explanation
The diagram of the journey can be seen below.
From the image, we can find the distance of the plane from its starting point using the Pythagoras theorem.
[tex]\begin{gathered} D^2=100^2+400^2 \\ D^2=10000+160000 \\ D^2=170000 \\ D=\sqrt{170000} \\ D=412.3105 \end{gathered}[/tex]Answer: Distance =412.3105km
To find the bearing, we will first find the angle "a"
[tex]\begin{gathered} tana=\frac{400}{100} \\ a=tan^{-1}(4) \\ a=75.9637 \end{gathered}[/tex]The bearing of the plane becomes
[tex]b=180^0-75.9637^0=104.0363[/tex]Answer: 104.0363 degrees
