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Lookout Mountain, which overlooks the Tennessee River Valley near Chattanooga, Tennessee, was of great strategic importance during the Civil War. Today, some of the artillery used in the war remain at the park located on top of the mountain. Suppose one of these cannons fired a projectile horizontally with a speed of 430 m/s, so that the projectile landed at a horizontal distance of 4020 m from the cannon. How high would the ridge of the mountain be with respect to the valley below?

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