Question

11

Answer 1

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 :

$v=\sqrt{600^2+100^2} \\\\v=608.27\ m/s$

For direction,

$\tan\theta=\dfrac{600}{100}\\\\\tan\theta=6\\\\\theta=\tan^{-1}(6)\\\\\theta=80.53^{\circ}$

So, the aircraft's resultant velocity is 608.27 km/h and it is at and angle of 80.53°.