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The tallest television transmitting tower in the world is in North Dakota. From a point on level ground 5280 feet​ (one mile) from the base of the​ tower, the angle of elevation is 20.8 degrees. Approximate the height of the tower to the nearest foot.

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Oseni

Answer:

2005 feet

Explanation:

The height of the tower is represented by X in the attached image.

In order to determine X:

Tan [tex]20.8^o[/tex] = opposite/adjacent = X/5280

Therefore,

X = 5280 x Tan [tex]20.8^o[/tex]

Tan [tex]20.8^o[/tex] = 0.3798

Hence,

X = 5280 x 0.3798

   = 2005.344

The height of the tower to the nearest foot is 2005 ft.

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