A plane travelling at a speed of 150 meter per second due east of north has to go from point A to point B 500 km apart. If a wind blows straight north at a speed of 20 meter per second find the angle the pilot should follow to reach point B and also the time taken in flying from A to B.

1 answer

The resultant velocity is

v = (106,106) + (0,20) = (106,126)
|v| = 164.7

The angle x obeys tan(x) = 126/106
The time taken is 500,000/164.7 seconds