Question

An airplane pilot sets a compass course due west and maintains an air speed of 240 km/h

Answer 1

Answer:

I think the question is incomplete.

Here I have written the whole question:

an airplane pilot sets a compass course due west and maintains an air speed of 240 km/h. after flying for 1/2 h, he finds himself over a town that is 150 km west and 40 km south of his starting point. the wind velocity :

d^2=(150)^2+(40)^2

    =22500+1600

     =24100 km^2

d=√24100

    =155 km

θ=tan−1(40/150)

   =tan−10.2667

     =15°

Velocity of pilot with respect to ground (v→1) is given by

v→1=155/0.5=310 km h−1

Let v→2 be the velocity of air and Let v→3 be the velocity of wind with respect to ground.

Now,

Using cosine law we have

v→3^2=v→1^2+v→2^2−2v→1v→2cos15°

=(240)^2+(310)^2−2(210)(310)(0.9659)

=57600+96100−143730

=9970

⇒v→3 =100 km h−1