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A radio tower has a 28-foot shadow cast by the sun. If the angle from the tip of the shadow to the top of the tower is 69, what is the height of theradio tower? Round your solution to four decimal places.

A radio tower has a 28foot shadow cast by the sun If the angle from the tip of the shadow to the top of the tower is 69 what is the height of theradio tower Rou class=

Respuesta :

Answer:

72.9425 feet

Explanation:

Let's sketch an image of the question;

To determine the height of the radio tower(h), we have to take the tangent of angle 69 degrees;

[tex]\begin{gathered} \tan 69=\frac{h}{28} \\ h=28\tan 69 \\ h=72.9425ft \end{gathered}[/tex]

Therefore, the height of the radio tower is 72.9425 feet.

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