PLEASE HELP! D; A plane with an airspeed of 100 km/h wished to fly to a city 2000 km away which is at a bearing of N40degreesW relative to its present position. There is a wind blowing from N25degreesE at a speed of 100 km/h.

a) In what direction should the plane head?
b) What is the ground speed of the plane?
c) How long will the trip take?

Question

PLEASE HELP! D; A plane with an airspeed of 100 km/h wished to fly to a city 2000 km away which is at a bearing of N40degreesW relative to its present position. There is a wind blowing from N25degreesE at a speed of 100 km/h. 

a) In what direction should the plane head?
b) What is the ground speed of the plane?
c) How long will the trip take?

anonymous · Answer

@bahrom7893, @ghazi @AccessDenied are you guys familiar with solving relative velocities such as this question?

ghazi · Answer

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anonymous · Answer

Here's what I've done so far:

p = 100 km/h, ???
w = 100 km/h, from N25E
g = ??, N40W

Vector Equation:
g = p+w
since I'm looking for plane's direction, p= g-1

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