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A radio transmission tower is 245 feet tall. A guy wire is to be attached 6...

A radio transmission tower is 245 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 20 degrees with the ground. How many feet long should the guy wire be?

Math   Precalculus   
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Answer #1

Let draw this condition, lebel the drawing and solve it:

from the drawing, we can understand that the length of the guy wire is the hypotenuse (AC) of this triangle ABC.

we will use trigonometric function cosec to find it:

  

so, the guy wire should be 254.338 ft long.

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