• Feb 22nd 2006, 05:18 PM
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?
• Feb 23rd 2006, 02:36 AM
CaptainBlack
Quote:

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
• Feb 23rd 2006, 05:55 PM