A forest ranger at the top of a 350-foot fire tower spots a forest fire. He
determines the angle of depression is 18º. How far is the forest ranger from the fire?

Respuesta :

Answer: [tex]1077.18\ ft[/tex]

Step-by-step explanation:

Given

height of the tower is 350 ft

the angle of depression is [tex]\theta =18^{\circ}[/tex]

from the figure, we can write

[tex]\Rightarrow \tan \theta =\dfrac{h}{x}\\\\\Rightarrow \tan 18^{\circ}=\dfrac{350}{x}\\\\\Rightarrow x=\dfrac{350}{\tan 18^{\circ}}=1077.18\ ft[/tex]

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