A jetliner flies east for 6500 km then turns 300 toward the

A jetliner flies east for 650.0 km, then turns 30.0 toward the south and flies another 290.0 km

(a) how far is the plane from its starting point?

Solution

Displacement in X-direction

X=650+290Cos(-30) =901.15 Km

Displacement in Y-direction

Y=290SIn(-30) =-145 Km

Magnitude of Displacement of the plane from its starting point

D=sqrt[901.15²+(-145)²]

D=912.7 Km