Question #339525

7. An aeroplane heads due north at 500 km/h. It experiences a 80 km/h crosswind flowing in


the direction N60oE.


(a) Find the true velocity of the aeroplane. (7)


(b) Determine the speed of the aeroplane. (Leave your answer in terms of square root


1
Expert's answer
2022-05-17T23:13:10-0400

a2=b2+c22bccosαa^2=b^2+c^2-2bc cos \alpha

a2=5002+8022(500)80cos(60°)=250000+640040000=216400a^2=500^2+80^2-2(500)80cos(60°)=250000+6400-40000=216400

true velocity of the aeroplane =speed of the aeroplane

a=216400a=\sqrt{216400}



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