$\"\"$

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The height of the radio tower is $\"\"$ .

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The tower slopes upward at an angle of $\"\"$ .

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Draw the related diagram:

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$\"\"$

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Using law of cosines:

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The wire needs to be about $\"\"$ long.

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$\"\"$

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Using law of cosines:

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$ , $\"\"$ .