Surveyors need to determine the height of a hill. They set up a laser measuring device on a pole that is 1m tall and shine the laser toward the top of a second pole, which is 1.6m tall. Then they adjust the distance between the two poles until the laser hits the top of the longer pole and the top of the hill. The 1.6m pole is 415m from the centre of the hill. The 2 poles are 12m apart. Find the height of the hill.