Galileo wanted to release a wooden ball and an iron ball from a height of 100100100 meters and measure the duration of their fall. He found a plane with an incline of 12^\circ12
∘
12, degrees that he could climb until he could get to an altitude of 100\text{ m}100 m100, start text, space, m, end text.
How far should Galileo walk up the inclined plane?
Round your final answer to the nearest hundredth.