A pilot is flying from City A to City B which is 300 km [NW]. If the plane will encounter a constant wind of 80 km/h from the north and the schedule insists that he complete his trip in 0.75 h, what air speed and heading should the plane have?

Answer 1

Vp = 300km[135o]/0.75h = 400 km/h[135o]
Without the wind.

Vp + Vw = 400km/h[135] = -282.84+282.84i
Vp - 80i = -282.84 + 282.84i
Vp = -282.84 + 282.84i + 80i

Vp = -282.84 + 362.8i=460.4km/h[128o] = 460.4km/h[38o] W. of N. With the wind
blowing.