A jetliner takes off from LA. after 5 min, the jet has an altitude of 5 km above the level of the airport and is 25 km west and 10 km north of the airport. What are the magnitude and the diretion of its displacement during this time interval? Specify the direction by stating two angles: the angle of the displacements direction west of north and the angle of the displacement's direction above the horizontal.
for West of North:
construct a triangle with adjacent side 10 km and hypotenuse 25 km
then use cox=10/25 to find the angle
For above the horizontal:
construct a triangle with opposite side 5 km and hypotenuse 10
then use tanx=5/10 to find angle
use the magnitude formula for: [-25 km, 10 km, 5 km]
The Attempt at a Solution
Is horizontal always the Z component/up?
west of north angle: 66*
above horizontal angle: 27*
direction of displacement: northwest
magnitude: 27 km