Question 1130256
my diagram is shown below.
once you have figured out how to draw the diagram, the rest is application of the law of cosines for angle C.


<img src = "http://theo.x10hosting.com/2018/112901.jpg" alt="$$$" >


that law is:


c^2 = a^2 + b^2 - 2 * a * b * cos(C)


side b is equal to 2 * 250 = 500 miles.
side a is equal to 2 * 300 = 600 miles.


angle ACS is 15 degrees west of south.


angle NCB is 75 degrees east of north.


since angle NCE is 90 degrees, angle BCE is 15 degrees.


angle SCE is 90 degrees.


therefore angle ACB is equal to 15 + 90 + 15 = 120 degrees.


the rest is application of the law of cosines to get c = 954 miles.


that's the distance between the 2 planes after 2 hours.