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A railroad trestle spans a gorge 80 feet wide and connects two cliffs at heights of 112 and 172 feet above the bottom of the gorge. A train is crossing this gorge from the higher cliff to the lower. When the front of the train has traveled 3/4 of the trestle's length, how many feet is it above the bottom of the gorge?

 Feb 3, 2019

172 - 112 = 60 feet

Since it is a straight line of constant slope, the train will have dropped    3/4 * 60 = 45 ft from the 172 ft side

172-45 = 127ft above the floor of the gorge.

 Feb 3, 2019

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