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# An airplane has a speed of 600 km h−1 with respect to air. It has to fly a distance of 800 kmnorthward. In what direction should it fly if a steady wind is blowing at a speed of  120 km h−1 from the west? What will its speed with respect to the ground be? Draw the relevant diagram for your calculations.

Chetan Mandayam Nayakar
312 Points
10 years ago

Dear Kumar,

It is clear that the plane should travel northwest at an angle 'theta' to north.

600sin(theta)=120, theta=sin-1(1/5)

speed w.r.t. ground=600cos(theta)=600cos(sin-1(1/5)) kmph

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