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David is standing 500 feet away from the base of a cell phone tower. The angle of elevation from his eyes to the top of the tower is 78. If David's eyes are 6 feet above the ground, how tall is the tower?

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xero099

Answer:

[tex]h = 2358.315\,ft[/tex]

Step-by-step explanation:

The trigonometric figure is presented below. The height of the tower is found by applying trigonometric functions:

[tex]h = 6\,ft + 500\,ft \cdot \tan 78^{\textdegree}[/tex]

[tex]h = 2358.315\,ft[/tex]

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