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a telegraph pole is braced by wires from the ground which are attached at a point 18.6 feet up the pole. find the length of a wire that makes an angle of 26 degress 20' with the vertical.

 May 10, 2016
 #1
avatar+37170 
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26 degrees 20 minutes  is 26.333 degrees

   sin 26.333 = 18.6/hyp

hyp = 18.6/sin26.33 =41.92 ft

 May 10, 2016
edited by ElectricPavlov  May 10, 2016
 #2
avatar+130516 
0

26° 20'   = [26 + 1/3]°

 

The wire forms the the hypotenuse of a right triangle, with the 18.6 ft being the leg opposite the given angle.......so.....we can use the sine function to find the length of the wire

 

sin [26 + 1/3]   =  18.6  / L     where L is the wire length   .....rearrange to solve for L

 

L = 18.6 / sin[26 + 1/3]  = about  41.93 ft

 

 

 

cool cool cool

 May 10, 2016

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