We also have plane 2 flying directly east (along the x-axis) for 4 hours at 327 mph. The distance he covers using the d = rt formula for distance, is 327(4) = 1308 miles. The angle in between them at this point is 135 degrees, and what we need to find is the length of the vector connecting the 2 planes. IF this was right triangle trig that distance would be the hypotenuse and we could solve for it using Pythagorean's Theorem. BUT it is NOT a right triangle, so we have to find some other means with which to solve for that length. We will use the Law of Cosines to do this.

$?^2=1660^2+1308^2-2(1660)(1308)cos(135)$ which simplifies a bit to

$?^2=2755600+1712864-(-3070653.624)$

If you add all of that together, you'll get

$?^2=7537117.624$ and you'll take the square root of that to get that the distance between the 2 planes after 4 hours is

2745 miles

4 0

3 years ago

Please helpfind the area of the following shape. show all work.​

Please helpfind the area of the following shape. show all work.