Math Please Help!!
posted by Kourt .
An airplane has an airspeed of 724 kilometers per hour at a bearing of 30 degrees.The wind velocity is 32 kilometers per hour from the west. What are the groundspeed and the direction of the plane?

Math Please Help!! 
Greg
739 kilometers per hour. I used an online electronic flight computer.

Math Please Help!! 
Reiny
make a diagram.
from the origin draw a vector with a bearing of 30 degrees and mark its length 724. Call it OA
Draw a horizontal line AB of length 32
the angle OAB = 120 degrees
by cosine law:
OB^2 = 724^2+32^22(724)(32)cos120
= 548368
OB= 740.5
now by the Sine Law:
sinO/32 = sin120/740.5
sinO= .0374235
angleO=2.145
so the bearing is 30+2.1 or 31.1 degrees, and the ground speed is 740.5 km/h
check my arithmetic
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