Answer to Question #159794 in Mechanics | Relativity for dorian

Question

2. An airplane flying parallel to the ground undergoes two consecutive displacements. The first is 75 km 30.0° west of north, and the second is 155 km

Answer 1

From the condition of the problem the angle between the first and the second direction will be equal to $90°$ . Hence

$d=\sqrt{155^2+75^2}=172.2\ (m)$ . Answer

$\tan\alpha=155/75=2.066\to \alpha=64.2°$

The plane moved in the direction $64.2°-30°=34.2°$ East of North. Answer