An aircraft flew 80 km on a bearing of 042°, then for 120 km on a bearing of 140°. How far away is it from the starting point? What is the bearing of the aircraft from the starting point?

Here's the solution to the problem:

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An aircraft flew 80 km on a bearing of $042^\circ$ then for 120 km on a bearing of $140^\circ$. How far away is it from the starting point? What is the bearing of the aircraft from the starting point?

Let O be the starting point, A be the position after the first leg, and B be the final position.

• First leg: OA = 80 km, bearing $042^\circ$.
• Second leg: AB = 120 km, bearing $140^\circ$.

Step 1: Determine the interior angle $\angle OAB$.
Draw a North line at