Two airplanes leave an airport at the same time, and the angle between their flight paths is 40*.An hour later, one plane has traveled 300 miles, while the other has travelled 200 miles,each in a straight line. How far apart are the planes at this time?

2. Originally Posted by cinbad
Two airplanes leave an airport at the same time, and the angle between their flight paths is 40*.An hour later, one plane has traveled 300 miles, while the other has travelled 200 miles,each in a straight line. How far apart are the planes at this time?
This is an allication of the cosine rule. You have a triangle with two
sides one 300 and the other 200 miles, and the angle between them
is 40 degrees.

$
c^2=a^2+b^2-2ab \cos (\theta)
$

Substitute $a=200$, $b=300$ and $\theta=40^{\circ}$ into the above and that's it

RonL

3. Thank you very much Captain