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As shown in the diagram, one end of a 11-foot-long electric cable is fixed at point A on the wall, and the other end of the cable (denoted by C) is a sensor. There is a pin attached to the cable at a point B that is 4 units away from C, and the pin can be fixed to any point on the wall reachable by B. Due to gravity, the free part of the cable (i.e. BC) is always perpendicular to the ground OD. A few other measurements are provided in the diagram. What is the minimum distance between C and D?

 

the picture wont load but essentially it looks like AO is perpendicular to the ground which is OD. AB is a curve going downwards and to the right. BC goes down and doesn't quite meet OD.

 

Measurements:

 

AO = 12ft

BC = 4ft

OD = 16ft

 

plz include an explanation! :)

 Feb 15, 2022
 #1
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By the triangle inequality, the minimum distance is 12*sqrt(2) - 6.

 Feb 15, 2022
 #2
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unfortunately its not correct... thanks for trying, though!!

Guest Feb 15, 2022

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