Hello, sam314159265!

An airplane is flying at 550 km/hr on a bearing of 80°.

The wind is blowing at 60 km/hr from a bearing of 120°.

1) Draw a vector diagram

2) Find the ground velocity of the airplane Code:

C Q
P o *
* * * 60 :
: * * :
: * *60°:
: * * :
: * 40° o B
: * * 80°:
:* * 550 :
A o *
R

The plane flies from to

The wind is blowing from the southeast: .

Hence: .

Law of Cosines: .

. . Hence: . km/hr.

Law of Cosines: .

. . Hence: .

Then: .

Therefore, the plane is flying at 505.5 km/hr at a bearing of 75.6°.