From a point 54.0 feet from the base of a flagpole, the angle of elevation to the top of the flagpole is 68.5°. find the height of the flagpole.

Respuesta :

The flagpole forms a right-triangle with its base and its top

The height of the flagpole is 137.1 feet

How to determine the height?

To determine the height, we make use of the following tangent trigonometry ratio

[tex]\tan(68.5) = \frac{h}{54.0}[/tex]

Where:

h represents the height of the flagpole.

So, we have:

[tex]h = 54.0 * \tan(68.5)[/tex]

Evaluate

[tex]h = 137.1[/tex]

Hence, the height of the flagpole is 137.1 feet

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