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A forest ranger spots a fire from the top of a lookout tower. the tower is 160 meters tall and the angle of depression to the fire is 12 degrees. how far is the fire from the base of the tower? round to the nearest meter.

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Answer:

The fire is 752.741 meters far from the base of tower

Step-by-step explanation:

Tower=160 meters tall

Angle of Depression=12°

tan(12°)=[tex]\frac{perpendicular(tower)}{base(distance from fire)}[/tex]

tan(12°)=[tex]\frac{160 meters}{base(distance from fire)}[/tex]

Distance from fire= [tex]\frac{160 meters}{tan12}[/tex]

Distance= 752.741 meters

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