Question

An airplane with a ground speed of 550 km/hr travels along a heading of 30 degrees N of W. At that high altitude there is a powerful 210 km/hr wind (known as the jet stream) 40 degrees south of west. Determine the direction that the pilot is aiming the plane.

(I know this question has been asked already 3 times- but 2 of the answers were wrong, and I couldnt understand the work for the correct one.)

the answer key says the pilot must point 52.4 degrees NofW.

Thank you!

Answer #1

An airplane with a ground speed of 550 km/hr travels along a
heading of 30 degrees N of W. At that high altitude there is a
powerful 210 km/hr wind (known as the jet stream) 40 degrees south
of west. Determine the direction that the pilot is aiming the
plane.
The answer key says that the pilot must point 52.4 degrees
NofW.

An airplane is heading due south at a speed of 662 km/h . A wind
begins blowing from the southwest at a speed of 80 km/h (average).
In what direction should the pilot aim the plane so that it will
fly due south? Express your answer to three significant figures and
include the appropriate units.

An airplane is heading due south at a speed of 688 km/h If a
wind begins blowing from the southwest at a speed of 90 km/h
(average), calculate: (a) the velocity (magnitude and
direction) of the plane relative to the ground, and (b)
how far from its intended position will it be after 11.0 min if the
pilot takes no corrective action. [Hint: First draw a
diagram.]
(a) VP,G = 628 km/h (b) Dx = 16.5 km these
are the answers...

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