Two airplanes leave an airport at the same time. The velocity of the first airplane is 720 m/h at a heading of 45.5 ◦ . The velocity of the second is 610 m/h at

Question

Two airplanes leave an airport at the same
time. The velocity of the first airplane is
720 m/h at a heading of 45.5
◦
. The velocity
of the second is 610 m/h at a heading of 153◦
.
How far apart are they after 2.2 h?
Answer in units of m.

Answer 1

Draw and label a diagram!

The angle between the two aircraft is 107.5°

 

Use the Law of Cosines

 

c² = (720)² + (610)² - 2(720)(610) cos 107.5°