Question

A plane has an air speed of 240km/h.what should be the planes heading if it is to travel due north,relative to the earth in a wind blowing with a velocity of 100km/h in an easterly direction?

Answer 1

Airplane to travel due north if

$\alpha=asin(\frac{v_w}{v_a})$

$\alpha=asin(\frac{100}{240})=24.6^o$

The aircraft should heading 24.6 degrees west of east