Rope slack

Between two streets 20 m away give the lamp, which is in the middle and hanging 60 cm bellow the taut rope. Can be done with 20.5 meters rope?

Result




Solution:

(x/2)2=(20/2)2+0.62 (x/2)2=100.36 x/2=10.017983829095 x=20.035967658189 m x<20.5 m (x/2)^2 = (20/2)^2 + 0.6^2 \ \\ (x/2)^2 = 100.36 \ \\ x/2 = 10.017983829095 \ \\ x = 20.035967658189 \ m \ \\ x < 20.5 \ m \ \\



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