both planes leave at 10 am and one goes 67 degrees at 12 mph

both planes leave at 10 am and one goes 67 degrees at 12 mph SW and another goes 49 degrees NE at 10 mph. How far apart are they at 3pm

The speed of the plane travelled in SW direction is 12mph. SO in 5 hours it travels,60 miles

The speed of train travelled in NE direction is 10mph. SO in 5 hours it travels 50 miles

Angle between them=180-67-49=64 degree

We have to use law of cosine here

d²= 60²+50²-2(60)(50)cos 64

d²= 6100- 6000cos64

d=58.9 miles