A steep mountain is inclined 70 degree to the horizontal and rises 3500 ft above the surrounding plain. A cable car is to be installed by connecting a cable from the top of the mountain to a spot on the plain that is 1000 ft from the base of the mountain. Find the shortest length of cable needed.
Round answers to 3 decimal places.
+33616 "A steep mountain is inclined 70 degree to the horizontal and rises 3500 ft above the surrounding plain. A cable car is to be installed by connecting a cable from the top of the mountain to a spot on the plain that is 1000 ft from the base of the mountain. Find the shortest length of cable needed. "
