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A person in a 60ft tall tower is looking down 18 degrees at a fire how far away is the fire from the person

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3 Answers

Good responses. Like Brad said, if you're "looking down" 18 degrees the adjacent angle is 72 degrees. Just be careful with the wording. 

SOH CAH TOA

Draw a right triangle. The height is 60 ft, and the distance to be found is x.

x/60 = cot(18)

So, x = 60cot(18) = 60/tan(18) = 184.66 ft <==Answer

Hey Charles!

Looking down 90 degrees is looking straight down at one's burning feet.

                     60'

18deg  <<  x  >>

Tangent is opposite / adjacent or tower height / fire distance.

tan () = 60' / x

x = 60' / tan (18deg * 1 radian / 60deg) = 60' / tan (0.3 radians)

tan (0.3rad) happens to be about 0.3

x = 60' / 0.3 = 600' / 3 or about 200 ft away. Best wishes, sir.

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