Consider an airplane heading due east at 150 miles/hour relative to the air. the wind is blowing at 7.1 miles/hour at 45º south of east. drag vectors for the plane and the wind into the vector addition simulation. for this scenario, consider the simulation to be in tens of miles (i. e., 10 on the grid represents 100 miles). what do rx, ry, θ,  and |r| represent in terms of the force of the wind, and what do they represent in terms of the forces moving the airplane?

We have

Va(airplane)=150  East

Vw(wind)=7.1 South East

resulting vector R

airplane

Vax=150    Vay=0   it only has component x 

Vwy=7.1*sin45=-5.02 is negative because is South direction

 |R|=(Rx^2+Ry^2) ^0.5

Rx=150+5.02=155.02

Ry=0-5.02=-5.02

Determine angle θ

Rx=R*cos(θ)

 θ =arc cos Rx/R θ =1.8119 º

 Rx represents the component in the East direction of the resultant force. Your contribution is given by both, the force of the plane and the wind. The contribution of the wind makes the airplane's speed greater

 Ry represents the component in the South direction of the resulting force Its contribution is exclusive of the wind since the airplane has no component in this direction

 |R| the force resulting from the combined action of the force of the plane and the force of the wind

 θ represents the angle that forms the resultant force with respect to the x axis or east direction

36/60

36/2=18

60/2=30

18/30

18/3=6

30/3=10

6/10

6/2=3

10/2=5

your final answer would be 3/5 of an

hope this !