Answer:
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
![cos(C)=[a^(2)+b^(2)-c^(2)]/[2*a*b]](https://img.qammunity.org/2020/formulas/mathematics/high-school/eaarcg1t5z5w79gca1wj5hujc5044rtlpn.png)
substitute the values
![cos(C)=[450^(2)+380^(2)-800^(2)]/[2(450)(380)]=-0.8570](https://img.qammunity.org/2020/formulas/mathematics/high-school/5sqh40oaf7czsh9weiffxgszn1ygs194ln.png)

The direction plane 2 is equal to
see the attached figure to better understand the problem