Problema Solution
At 10.00 hours an aeroplane is over a point A flying at an airspeed of 250 km /h on a course of 215 degrees. At 10.20 hours it passes over a point B which is 80km due south-west of A. What is the wind velocity?
Answer provided by our tutors
let
w = the wind's velocity
it is important to make a good drawing and then use the Law of cosines to find w.
From 10:00 to 10:20 there are t = 20 min or t = 20/60 hr = 1/3 hr
w^2 = 80^2 + ((1/3)250)^2 - 2*80*(250/3) cosine(10)
w = 14.62 km/h
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The wind's velocity is 14.62 km/h.