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Question 32 ptsA park ranger on top of a 65-foot tower spots a fire at anangle of depression of 39 degrees. Approximately how far (onthe ground) is the fire from the park ranger? To help you withthis problem, sketch and label a diagram.Round to the nearest tenth.x=

Question 32 ptsA park ranger on top of a 65foot tower spots a fire at anangle of depression of 39 degrees Approximately how far onthe ground is the fire from th class=

Respuesta :

Let y = ground distance of the fire from the park ranger;

[tex]\begin{gathered} \tan 39=\frac{65}{y} \\ y=\frac{65}{\tan 39}=\frac{65}{0.8098} \\ y=80.3 \end{gathered}[/tex]

The ground distance of the fire from the park ranger is 80.3ft

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