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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 km northward. 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.


An airplane has a speed of 600 km h


−1


 with respect to air. It has to fly a distance of 800 km


northward. 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.


Grade:11

1 Answers

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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CHETAN MANDAYAM NAYAKAR

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