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A steep mountain is inclined 74 degree to the horizontal and rises to a height of...

A steep mountain is inclined 74 degree to the horizontal and rises to a height of 3400 ft above the surrounding plain. A cable car is to be installed running to the top of the mountain from a point 990 ft out in the plain from the base of the mountain. Find the shortest length of cable needed.

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criven that h = 3460ft 74 J? ка-ав ggot A ABC tam (74 ) = 3400 # cand O ABD ( 990 ++)? + 1346093 12 ( 990+ 3400 tan 74 ) ² +

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