A squint man has a visual deflection of 30 degrees. This means that there is a 30 degrees angle between the direction that he sees as straight and the direction that he walks in. How long is the path of his walk when he can see that he is walking straight towards a pole that was 100 metres away from him at the beginning?

Note: It is possible (and the preferred way, actually) to solve this puzzle without using integral calculus.