One end of a rope is attached to the top of a pole 100 ft high. If the rope is 150 ft long, what is the maximum distance along the ground from the base of the pole to where the other end can be attached?

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Answer 1 · 2017-03-15T08:19:22

#"Distance" = 111.8# ft

These first step is to recognise that this is an application of Pythagoras' Theorem. The length of the rope is the hypotenuse.

#"Distance"^2 = 150^2 -100^2#

#"Distance"^2 = 12500#

#"Distance" = sqrt12500#

#"Distance" = 111.8# ft