
Laura R.
asked 04/11/23Law of Cosines: Steep mountain inclined 74 degree, rises to a height of 3400ft, cable car is installed to top of mountain 870ft out. Find shortest length of cable needed.
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 870 ft out in the plain from the base of the mountain. Find the shortest length of cable needed. Answer is in feet.
1 Expert Answer

Mark M. answered 04/12/23
Mathematics Teacher - NCLB Highly Qualified
Use sine to deteremine length of mounttain slope.
Use Law of Cosines to determine length of cable.
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Mark M.
Did you draw and label a diagram?04/12/23