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A guy wire is attached to the top of a 75 foot tower meets the ground at a 65 degrees angle. How long is the wire?

 Aug 25, 2016
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The wire is the hypotenuse and the tower and the ground are the 'legs' of a right triangle....

 

remember SOHCAHTOA       Sin x = Opposite/Hypotenuse  ?

 

 

opposite = tower = 75     x = 65 degrees      

so the   sin 65 = 75/hypotenuse          

re-arranging:   Hypotenuse =  75 / sin65  = 82.75 ft 

 Aug 25, 2016

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