A boy of height 0.7 \(m\) is walking towards a \(70 \ m\) Qutub minor tower. The angle of elevation from his eyes to the top of the tower increases from 30\(^{\circ}\) to 45\(^{\circ}\) as he walks towards the tower. Find the distance he walked towards the tower. (\(\sqrt{3} = 1.732\))
 
Answer:
 
The distance the boy walked towards the tower is ____________ \(m\).