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A steep mountain is inclined \( 75 \) degree to th...

A steep mountain is inclined \( 75 \) degree to the horizontal and rises \( 3700 \) 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 

\( 990 \) ft from the base of the mountain. Find the shortest length of cable needed. Round answers to \( 3 \) decimal places. 



3830.5 ft

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