An aeroplane is heading 20 degree North of East,flying at 200km/hr relative to the air. Simultaneously the wind carriers the plane 10degree East of South at speed of 60.0km/hr.

Question

(a) find the velocity of the relative to the ground.(you may solve it graphically)
(b) find the components (East and North) of the velocity of the plane relative to the air and of the relative to the ground. Find the plane's velocity relative to the ground by adding comments.

Answer 1

(a) use the law of cosines:

v^2 = 200^2 + 60^2 - 2*100*60*cos(80°)

v = 198.6 km/hr at 2.7° N of E

Now use that to break it into components.