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A steep mountain is inclined 74 degrees to the horizontal and rises to a height of 3,400 feet above the surrounding plain. A cable car

A steep mountain is inclined 74 degrees to the horizontal and rises to a height of 3,400 feet above the surrounding plain. A cable car is to be installed running to the top of the mountain from a point 800 feet out in the plain from the base of the mountain. Find the shortest length of cable needed. Round to two decimal places.

The shortest length of cable needed is ___ feet.

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