9514 1404 393
Answer:
172.19 km, N 34.18° E
Step-by-step explanation:
The turn made at the end of the first leg is 90°, so the total displacement can be found using the Pythagorean theorem.
d = √(75^2 +155^2) = √29650
d ≈ 172.19 . . . km
The direction can be found from the angle between the initial leg and the end point. That angle is ...
α = arctan(155/75) ≈ 64.18°
Then the direction from the starting position to the final position is ...
-30° +64.18° = 34.18° . . . . east of north
The total displacement of the airplane is ...
172.19 km, N 34.18° E