A radio transmission tower is 579 feet tall. A guy wire is to be attached 6 feet from the top and is to make an angle of 23° with the ground? How many feet long shouldthe guy wire be? Round your answer to the nearest foot and do not write the units.

Respuesta :

The Solution:

Representing the problem in a diagram, we have

We are required to find the value of x in the diagram above.

By Trigonometrical Ratio, we have

[tex]\sin 23^o=\frac{573}{x}[/tex]

Cross multiplying, we get

[tex]x\sin 23=573[/tex]

Dividing both sides by sin 23, we get

[tex]x=\frac{573}{\sin23}=1466.48\approx1466\text{ }[/tex]

Therefore, the correct answer is 1466.

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