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A 3500 ft. mountain is inclined from the horizontal (i.e. the face of the mountain and the ground form a angle). A cable car is installed at a point 1000 ft. from the base of the mountain. What is the minimum amount of cable required to reach the top of the mountain, to the nearest foot?

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A 3500 ft. mountain is inclined<br><br><img src='https://www.fatskills.com/images2/GradExams/70821ADB-D935-4D91-AF97-62BD547D528A.png' height='15' width='26'/> from the horizontal (i.e. the face of the mountain and the ground form a<br><br><img src='https://www.fatskills.com/images2/GradExams/70821ADB-D935-4D91-AF97-62BD547D528A.png' height='15' width='26'/> angle). A cable car is installed at a point 1000 ft. from the base of the mountain. What is the minimum amount of cable required to reach the top of the mountain, to the nearest foot?





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