A plane is flying with an airspeed of 160 miles per hour and heading 145°. The wind currents are running at 25 miles per hour at 175° clockwise from due north. Use vectors to find the true course and ground speed of the plane. (Round your answers to the nearest ten for the speed and to the nearest whole number for the angle.)
( )mi/hr with heading( )

Question

A plane is flying with an airspeed of 160 miles per hour and heading 145°. The wind currents are running at 25 miles per hour at 175° clockwise from due north. Use vectors to find the true course and ground speed of the plane. (Round your answers to the nearest ten for the speed and to the nearest whole number for the angle.) 
( )mi/hr with heading( )

anonymous · Answer

160cos(145)+25cos(-85)=  x coordinate of the plane
160sin(145)+25sin(-85)= y coordinate
x^2+y^2= c^2
c is the magnitude

anonymous · Answer

For c I get 77.99 what do I do after?

anonymous · Answer

that's your answer

anonymous · Answer

|dw:1397443974997:dw|
160 cos145 gave the x coordinate of the plan, added to the x coordinate of the the wind
will give you the truth course. Same with y.
Pythagorean theorem would give you the magnitude, the truth speed of the plan with the wind going against the plan.