Question

An airplane pilot wishes to fly due west. A wind of 80km/hr is blowing towards the south.

a) If the speed of llane in air is 320km/hr, in which direction should the pilot head?

b) What is the speed of plane over the ground?

(Illustrate with diagram)
draw the diagram.
I see a right triangle.
a. sinTheta=80/320
theta= arcsin(.25)
so direction is theta N of W.

b. speed=sqrt(320^2-80^2)

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