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A guy wire is a cable used to restrain objects from moving. They are used to support towers or poles.

 

A guy wire is attached to a cell tower. The 50-foot long guy wire is attached to a tower such that the angle formed by the ground and the wire measures 35°. The guy wire is replaced by a guy wire 120 feet long. The point at which the new guy wire attaches to the tower is the same as it was with the original wire.

 

What is the approximate measure of the angle formed by this new guy wire and the ground?

 

9.2°

 

11.7°

 

13.8°

 

22.9°

 Apr 6, 2021
 #1
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We  need  to  find  the  height of the attachment  above  the  ground= H

 

sin 35  =  H  /  50

 

50* sin 35  =  H

 

When  the  120 ft  guy  wire  is attached....we  can find  the  angle  as

 

sin A  =   H  / 120

 

sin A  =  (50*sin 35)  / 120

 

To find  the  angle....take  the  arcsin

 

arcsin   [ (50 * sin 35)  / 120   ]  ≈ A ≈  13.8° 

 

 

cool cool cool

 Apr 6, 2021

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