Question

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=

Answer 1

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

`\begin{gathered} \tan 39=(65)/(y) \\ y=(65)/(\tan 39)=(65)/(0.8098) \\ y=80.3 \end{gathered}`

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