Explanation:
Given that,
The pilot directs the aircraft to fly due north at 600km/h.
A side-wind blows at 100km/h towards the east.
We need to find the aircraft's resultant velocity. et it be v. It can be calculated as follows :
[tex]v=\sqrt{600^2+100^2} \\\\v=608.27\ m/s[/tex]
For direction,
[tex]\tan\theta=\dfrac{600}{100}\\\\\tan\theta=6\\\\\theta=\tan^{-1}(6)\\\\\theta=80.53^{\circ}[/tex]
So, the aircraft's resultant velocity is 608.27 km/h and it is at and angle of 80.53°.
