Two planes left an airport at the same time and in still air. one flew east at 450 mi/h, and the other flew at 380 mi/h. in what direction did the second pilot fly if the two planes were 800 mi apart after 1 hour?

Step-by-step explanation:

we know that

Applying the law of cosines

where

c is the distance between the two planes after 1 hour

a is the distance of the plane 1 after 1 hour from the airport

b is the distance of the plane 2 after 1 hour from the airport

C is the angle between the direction plane 1 and the direction plane 2

step 1

Find the distance a

Multiply the speed by the time

step 2

Find the distance b

Multiply the speed by the time

step 3

Find the measure of angle C

we have

-----> given problem

solve for angle C

substitute the values

The direction plane 2 is equal to

see the attached figure to better understand the problem