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A guy wire fastened 50 m from the base of a tower makes an angle of 55 degrees with the ground. How high up is the tower does the guys wire reach?

 Mar 28, 2017
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   A guy wire fastened 50 m from the base of a tower makes an angle of 55 degrees with the ground.     

   How high up is the tower does the guys wire reach?     

 

   tangent  =  opposite over adjacent     

 

   tan(55o)  =  height / 50     

   1.4281    =  height / 50     

   height     =  (50) (1.4281)     

   height     =   71.405 rounds to 71.4 m     

 .     

 Feb 24, 2026

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