Question
- Question: Two vertical towers of heights 60 ft and 80 ft stand on level ground, with their bases 100 ftTwo vertical towers of heights 60 ft and 80 ft stand on level ground, with their bases 100 ftapart. A cable that is stretched from the top of one pole to some point on the ground betweenthe poles, and then to the top of the other pole. What is the minimum possible length of cablerequired? Justify your answer completely using calculus
Answer
Height = 80 – 60 = 20ft
Base = 100 ft
Min. length = sqrt( H^2 + B^2 )
= sqrt( 20^2 + 100^2 )
= sqrt( 10400 )
= 101.98 ft
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