A forest ranger spots a fire from a 28-foot tower. The angle of depression from the tower to the fire is 11. To the nearest foot, how far is the fire from the base of the tower? Show the steps you use to find the solution.

Question

anonymous · Answer

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anonymous · Answer

1. $$\tan(\theta)=\frac{ x }{ 28 }$$
2.$$\tan(11º)=\frac{ x }{ 28 }$$
3. $$28\tan(11º)=x$$

anonymous · Answer

btw 28tan(11) is approximately: 5.443 feet

anonymous · Answer

So the final answer would be: 5 FEET

anonymous · Answer

tan is opposite over adjacent

anonymous · Answer

Wait...so how would i put this into a short answer?

anonymous · Answer

@mihirb

anonymous · Answer

Ok so basically say that the tan of the angle of depression is the distance from the fire over the height of the tower. and then say you solved for the distance from the fire

anonymous · Answer

Okay thanks :)