Question

an airplane tries to fly due north at 100 m/s but a wind is blowing from the west at 30 m/s. what heading (angle and direction) should the plane take to go due north in spite of the wind?

Answer 1

since wind is blowing from the west, the direction is due east at 30m/s
in this case we can use a vector diagram
so, taking angle as x
x = tan^-1 (100/30)
= 73.30 deg
taking speed as y
y = (100^2 +30^2)^0.5 (pythagora's theorem)
= 104.4 m/s

Answer 2

sorry, its